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Finding the Fourth Proportional to 102,354.34, 153,531.50 and 39,981.10

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Solution

The fourth proportional to 102,354.34, 153,531.50 and 39,981.10 is: 59,971.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,354.34 : 153,531.50 = 39,981.10 : x
  2. Step 2: Convert to fraction form
    102,354.34/153,531.50 = 39,981.10/x
  3. Step 3: Cross multiply
    102,354.34x = 153,531.50 × 39,981.10
  4. Step 4: Simplify right side
    102,354.34x = 6,138,357,970.77
  5. Step 5: Solve for x
    x = 6,138,357,970.77/102,354.34
  6. Step 6: Final answer
    x = 59,971.64

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