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Finding the Fourth Proportional to 102,253.62, 153,450.52 and 35,693.76

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Solution

The fourth proportional to 102,253.62, 153,450.52 and 35,693.76 is: 53,565.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,253.62 : 153,450.52 = 35,693.76 : x
  2. Step 2: Convert to fraction form
    102,253.62/153,450.52 = 35,693.76/x
  3. Step 3: Cross multiply
    102,253.62x = 153,450.52 × 35,693.76
  4. Step 4: Simplify right side
    102,253.62x = 5,477,226,518.96
  5. Step 5: Solve for x
    x = 5,477,226,518.96/102,253.62
  6. Step 6: Final answer
    x = 53,565.11

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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.