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Finding the Fourth Proportional to 102,445.10, 153,580 and 39,310.53

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Solution

The fourth proportional to 102,445.10, 153,580 and 39,310.53 is: 58,932.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,445.10 : 153,580 = 39,310.53 : x
  2. Step 2: Convert to fraction form
    102,445.10/153,580 = 39,310.53/x
  3. Step 3: Cross multiply
    102,445.10x = 153,580 × 39,310.53
  4. Step 4: Simplify right side
    102,445.10x = 6,037,311,197.40
  5. Step 5: Solve for x
    x = 6,037,311,197.40/102,445.10
  6. Step 6: Final answer
    x = 58,932.16

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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.