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Finding the Fourth Proportional to 42,284.52, 63,426.42 and 12,702.24

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Solution

The fourth proportional to 42,284.52, 63,426.42 and 12,702.24 is: 19,053.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,284.52 : 63,426.42 = 12,702.24 : x
  2. Step 2: Convert to fraction form
    42,284.52/63,426.42 = 12,702.24/x
  3. Step 3: Cross multiply
    42,284.52x = 63,426.42 × 12,702.24
  4. Step 4: Simplify right side
    42,284.52x = 805,657,609.18
  5. Step 5: Solve for x
    x = 805,657,609.18/42,284.52
  6. Step 6: Final answer
    x = 19,053.25

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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.