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Finding the Fourth Proportional to 42,022.72, 63,035.52 and 14,320

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Solution

The fourth proportional to 42,022.72, 63,035.52 and 14,320 is: 21,480.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,022.72 : 63,035.52 = 14,320 : x
  2. Step 2: Convert to fraction form
    42,022.72/63,035.52 = 14,320/x
  3. Step 3: Cross multiply
    42,022.72x = 63,035.52 × 14,320
  4. Step 4: Simplify right side
    42,022.72x = 902,668,646.40
  5. Step 5: Solve for x
    x = 902,668,646.40/42,022.72
  6. Step 6: Final answer
    x = 21,480.49

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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.