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Finding the Fourth Proportional to 52,362, 72,259.02 and 31,140.81

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Solution

The fourth proportional to 52,362, 72,259.02 and 31,140.81 is: 42,974.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,362 : 72,259.02 = 31,140.81 : x
  2. Step 2: Convert to fraction form
    52,362/72,259.02 = 31,140.81/x
  3. Step 3: Cross multiply
    52,362x = 72,259.02 × 31,140.81
  4. Step 4: Simplify right side
    52,362x = 2,250,204,412.61
  5. Step 5: Solve for x
    x = 2,250,204,412.61/52,362
  6. Step 6: Final answer
    x = 42,974.00

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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.