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Finding the Fourth Proportional to 42,321.60, 63,486.72 and 14,616

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Solution

The fourth proportional to 42,321.60, 63,486.72 and 14,616 is: 21,925.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,321.60 : 63,486.72 = 14,616 : x
  2. Step 2: Convert to fraction form
    42,321.60/63,486.72 = 14,616/x
  3. Step 3: Cross multiply
    42,321.60x = 63,486.72 × 14,616
  4. Step 4: Simplify right side
    42,321.60x = 927,921,899.52
  5. Step 5: Solve for x
    x = 927,921,899.52/42,321.60
  6. Step 6: Final answer
    x = 21,925.49

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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.