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Finding the Fourth Proportional to 31,564.41, 47,354.54 and 9,075.13

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Solution

The fourth proportional to 31,564.41, 47,354.54 and 9,075.13 is: 13,614.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,564.41 : 47,354.54 = 9,075.13 : x
  2. Step 2: Convert to fraction form
    31,564.41/47,354.54 = 9,075.13/x
  3. Step 3: Cross multiply
    31,564.41x = 47,354.54 × 9,075.13
  4. Step 4: Simplify right side
    31,564.41x = 429,748,369.82
  5. Step 5: Solve for x
    x = 429,748,369.82/31,564.41
  6. Step 6: Final answer
    x = 13,614.97

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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.