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Finding the Fourth Proportional to 30,424.20, 45,635.94 and 10,702.68

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Solution

The fourth proportional to 30,424.20, 45,635.94 and 10,702.68 is: 16,053.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,424.20 : 45,635.94 = 10,702.68 : x
  2. Step 2: Convert to fraction form
    30,424.20/45,635.94 = 10,702.68/x
  3. Step 3: Cross multiply
    30,424.20x = 45,635.94 × 10,702.68
  4. Step 4: Simplify right side
    30,424.20x = 488,426,862.32
  5. Step 5: Solve for x
    x = 488,426,862.32/30,424.20
  6. Step 6: Final answer
    x = 16,053.89

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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.