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Finding the Fourth Proportional to 31,554.64, 47,331.58 and 9,065.87

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Solution

The fourth proportional to 31,554.64, 47,331.58 and 9,065.87 is: 13,598.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,554.64 : 47,331.58 = 9,065.87 : x
  2. Step 2: Convert to fraction form
    31,554.64/47,331.58 = 9,065.87/x
  3. Step 3: Cross multiply
    31,554.64x = 47,331.58 × 9,065.87
  4. Step 4: Simplify right side
    31,554.64x = 429,101,965.65
  5. Step 5: Solve for x
    x = 429,101,965.65/31,554.64
  6. Step 6: Final answer
    x = 13,598.70

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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.