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Finding the Fourth Proportional to 102,007.70, 153,011.55 and 35,522.90

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Solution

The fourth proportional to 102,007.70, 153,011.55 and 35,522.90 is: 53,284.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,007.70 : 153,011.55 = 35,522.90 : x
  2. Step 2: Convert to fraction form
    102,007.70/153,011.55 = 35,522.90/x
  3. Step 3: Cross multiply
    102,007.70x = 153,011.55 × 35,522.90
  4. Step 4: Simplify right side
    102,007.70x = 5,435,413,989.50
  5. Step 5: Solve for x
    x = 5,435,413,989.50/102,007.70
  6. Step 6: Final answer
    x = 53,284.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.