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Finding the Fourth Proportional to 31,605.90, 47,411.55 and 9,417.84

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Solution

The fourth proportional to 31,605.90, 47,411.55 and 9,417.84 is: 14,127.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,605.90 : 47,411.55 = 9,417.84 : x
  2. Step 2: Convert to fraction form
    31,605.90/47,411.55 = 9,417.84/x
  3. Step 3: Cross multiply
    31,605.90x = 47,411.55 × 9,417.84
  4. Step 4: Simplify right side
    31,605.90x = 446,514,392.05
  5. Step 5: Solve for x
    x = 446,514,392.05/31,605.90
  6. Step 6: Final answer
    x = 14,127.56

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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.