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Finding the Fourth Proportional to 31,156.92, 46,707.57 and 11,430.90

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Solution

The fourth proportional to 31,156.92, 46,707.57 and 11,430.90 is: 17,136.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,156.92 : 46,707.57 = 11,430.90 : x
  2. Step 2: Convert to fraction form
    31,156.92/46,707.57 = 11,430.90/x
  3. Step 3: Cross multiply
    31,156.92x = 46,707.57 × 11,430.90
  4. Step 4: Simplify right side
    31,156.92x = 533,909,561.91
  5. Step 5: Solve for x
    x = 533,909,561.91/31,156.92
  6. Step 6: Final answer
    x = 17,136.15

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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.