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Finding the Fourth Proportional to 31,128.72, 46,693.49 and 9,780.74

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Solution

The fourth proportional to 31,128.72, 46,693.49 and 9,780.74 is: 14,671.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,128.72 : 46,693.49 = 9,780.74 : x
  2. Step 2: Convert to fraction form
    31,128.72/46,693.49 = 9,780.74/x
  3. Step 3: Cross multiply
    31,128.72x = 46,693.49 × 9,780.74
  4. Step 4: Simplify right side
    31,128.72x = 456,696,603.01
  5. Step 5: Solve for x
    x = 456,696,603.01/31,128.72
  6. Step 6: Final answer
    x = 14,671.23

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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.