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Finding the Fourth Proportional to 72,836.56, 109,332.60 and 31,312.72

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Solution

The fourth proportional to 72,836.56, 109,332.60 and 31,312.72 is: 47,002.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,836.56 : 109,332.60 = 31,312.72 : x
  2. Step 2: Convert to fraction form
    72,836.56/109,332.60 = 31,312.72/x
  3. Step 3: Cross multiply
    72,836.56x = 109,332.60 × 31,312.72
  4. Step 4: Simplify right side
    72,836.56x = 3,423,501,090.67
  5. Step 5: Solve for x
    x = 3,423,501,090.67/72,836.56
  6. Step 6: Final answer
    x = 47,002.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.