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Finding the Fourth Proportional to 34,702.19, 52,053.14 and 8,406.89

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Solution

The fourth proportional to 34,702.19, 52,053.14 and 8,406.89 is: 12,610.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,702.19 : 52,053.14 = 8,406.89 : x
  2. Step 2: Convert to fraction form
    34,702.19/52,053.14 = 8,406.89/x
  3. Step 3: Cross multiply
    34,702.19x = 52,053.14 × 8,406.89
  4. Step 4: Simplify right side
    34,702.19x = 437,605,022.13
  5. Step 5: Solve for x
    x = 437,605,022.13/34,702.19
  6. Step 6: Final answer
    x = 12,610.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.