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Finding the Fourth Proportional to 34,020, 51,029.86 and 9,060.04

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Solution

The fourth proportional to 34,020, 51,029.86 and 9,060.04 is: 13,590.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,020 : 51,029.86 = 9,060.04 : x
  2. Step 2: Convert to fraction form
    34,020/51,029.86 = 9,060.04/x
  3. Step 3: Cross multiply
    34,020x = 51,029.86 × 9,060.04
  4. Step 4: Simplify right side
    34,020x = 462,332,572.79
  5. Step 5: Solve for x
    x = 462,332,572.79/34,020
  6. Step 6: Final answer
    x = 13,590.02

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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.