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Finding the Fourth Proportional to 31,885.47, 47,830.16 and 9,700.49

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Solution

The fourth proportional to 31,885.47, 47,830.16 and 9,700.49 is: 14,551.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,885.47 : 47,830.16 = 9,700.49 : x
  2. Step 2: Convert to fraction form
    31,885.47/47,830.16 = 9,700.49/x
  3. Step 3: Cross multiply
    31,885.47x = 47,830.16 × 9,700.49
  4. Step 4: Simplify right side
    31,885.47x = 463,976,132.61
  5. Step 5: Solve for x
    x = 463,976,132.61/31,885.47
  6. Step 6: Final answer
    x = 14,551.33

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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.