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Finding the Fourth Proportional to 52,417.72, 72,325.17 and 31,192.84

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Solution

The fourth proportional to 52,417.72, 72,325.17 and 31,192.84 is: 43,039.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,417.72 : 72,325.17 = 31,192.84 : x
  2. Step 2: Convert to fraction form
    52,417.72/72,325.17 = 31,192.84/x
  3. Step 3: Cross multiply
    52,417.72x = 72,325.17 × 31,192.84
  4. Step 4: Simplify right side
    52,417.72x = 2,256,027,455.78
  5. Step 5: Solve for x
    x = 2,256,027,455.78/52,417.72
  6. Step 6: Final answer
    x = 43,039.40

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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.