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Finding the Fourth Proportional to 31,598.88, 47,412.15 and 14,970.79

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Solution

The fourth proportional to 31,598.88, 47,412.15 and 14,970.79 is: 22,462.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,598.88 : 47,412.15 = 14,970.79 : x
  2. Step 2: Convert to fraction form
    31,598.88/47,412.15 = 14,970.79/x
  3. Step 3: Cross multiply
    31,598.88x = 47,412.15 × 14,970.79
  4. Step 4: Simplify right side
    31,598.88x = 709,797,341.10
  5. Step 5: Solve for x
    x = 709,797,341.10/31,598.88
  6. Step 6: Final answer
    x = 22,462.74

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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.