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Finding the Fourth Proportional to 74,598.30, 102,886.47 and 52,755.98

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Solution

The fourth proportional to 74,598.30, 102,886.47 and 52,755.98 is: 72,761.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,598.30 : 102,886.47 = 52,755.98 : x
  2. Step 2: Convert to fraction form
    74,598.30/102,886.47 = 52,755.98/x
  3. Step 3: Cross multiply
    74,598.30x = 102,886.47 × 52,755.98
  4. Step 4: Simplify right side
    74,598.30x = 5,427,876,039.16
  5. Step 5: Solve for x
    x = 5,427,876,039.16/74,598.30
  6. Step 6: Final answer
    x = 72,761.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.