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Finding the Fourth Proportional to 102,411.18, 153,585.59 and 35,838.90

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Solution

The fourth proportional to 102,411.18, 153,585.59 and 35,838.90 is: 53,747.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,411.18 : 153,585.59 = 35,838.90 : x
  2. Step 2: Convert to fraction form
    102,411.18/153,585.59 = 35,838.90/x
  3. Step 3: Cross multiply
    102,411.18x = 153,585.59 × 35,838.90
  4. Step 4: Simplify right side
    102,411.18x = 5,504,338,422.26
  5. Step 5: Solve for x
    x = 5,504,338,422.26/102,411.18
  6. Step 6: Final answer
    x = 53,747.44

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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.