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Finding the Fourth Proportional to 52,592.50, 72,577.59 and 31,090

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Solution

The fourth proportional to 52,592.50, 72,577.59 and 31,090 is: 42,904.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,592.50 : 72,577.59 = 31,090 : x
  2. Step 2: Convert to fraction form
    52,592.50/72,577.59 = 31,090/x
  3. Step 3: Cross multiply
    52,592.50x = 72,577.59 × 31,090
  4. Step 4: Simplify right side
    52,592.50x = 2,256,437,273.10
  5. Step 5: Solve for x
    x = 2,256,437,273.10/52,592.50
  6. Step 6: Final answer
    x = 42,904.16

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