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Finding the Fourth Proportional to 34,127.92, 47,097 and 19,020.16

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Solution

The fourth proportional to 34,127.92, 47,097 and 19,020.16 is: 26,248.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,127.92 : 47,097 = 19,020.16 : x
  2. Step 2: Convert to fraction form
    34,127.92/47,097 = 19,020.16/x
  3. Step 3: Cross multiply
    34,127.92x = 47,097 × 19,020.16
  4. Step 4: Simplify right side
    34,127.92x = 895,792,475.52
  5. Step 5: Solve for x
    x = 895,792,475.52/34,127.92
  6. Step 6: Final answer
    x = 26,248.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.