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Finding the Fourth Proportional to 102,342, 153,600.48 and 40,056.24

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Solution

The fourth proportional to 102,342, 153,600.48 and 40,056.24 is: 60,118.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,342 : 153,600.48 = 40,056.24 : x
  2. Step 2: Convert to fraction form
    102,342/153,600.48 = 40,056.24/x
  3. Step 3: Cross multiply
    102,342x = 153,600.48 × 40,056.24
  4. Step 4: Simplify right side
    102,342x = 6,152,657,691.00
  5. Step 5: Solve for x
    x = 6,152,657,691.00/102,342
  6. Step 6: Final answer
    x = 60,118.60

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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.