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Finding the Fourth Proportional to 31,006.13, 46,509.19 and 9,118.13

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Solution

The fourth proportional to 31,006.13, 46,509.19 and 9,118.13 is: 13,677.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,006.13 : 46,509.19 = 9,118.13 : x
  2. Step 2: Convert to fraction form
    31,006.13/46,509.19 = 9,118.13/x
  3. Step 3: Cross multiply
    31,006.13x = 46,509.19 × 9,118.13
  4. Step 4: Simplify right side
    31,006.13x = 424,076,840.61
  5. Step 5: Solve for x
    x = 424,076,840.61/31,006.13
  6. Step 6: Final answer
    x = 13,677.19

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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.