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Finding the Fourth Proportional to 42,039, 63,068.49 and 14,337

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Solution

The fourth proportional to 42,039, 63,068.49 and 14,337 is: 21,508.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,039 : 63,068.49 = 14,337 : x
  2. Step 2: Convert to fraction form
    42,039/63,068.49 = 14,337/x
  3. Step 3: Cross multiply
    42,039x = 63,068.49 × 14,337
  4. Step 4: Simplify right side
    42,039x = 904,212,941.13
  5. Step 5: Solve for x
    x = 904,212,941.13/42,039
  6. Step 6: Final answer
    x = 21,508.91

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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.