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Finding the Fourth Proportional to 31,712.68, 47,570.10 and 15,064.12

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Solution

The fourth proportional to 31,712.68, 47,570.10 and 15,064.12 is: 22,596.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,712.68 : 47,570.10 = 15,064.12 : x
  2. Step 2: Convert to fraction form
    31,712.68/47,570.10 = 15,064.12/x
  3. Step 3: Cross multiply
    31,712.68x = 47,570.10 × 15,064.12
  4. Step 4: Simplify right side
    31,712.68x = 716,601,694.81
  5. Step 5: Solve for x
    x = 716,601,694.81/31,712.68
  6. Step 6: Final answer
    x = 22,596.69

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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.