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Finding the Fourth Proportional to 42,283.17, 63,419.90 and 14,202.09

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Solution

The fourth proportional to 42,283.17, 63,419.90 and 14,202.09 is: 21,301.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,283.17 : 63,419.90 = 14,202.09 : x
  2. Step 2: Convert to fraction form
    42,283.17/63,419.90 = 14,202.09/x
  3. Step 3: Cross multiply
    42,283.17x = 63,419.90 × 14,202.09
  4. Step 4: Simplify right side
    42,283.17x = 900,695,056.58
  5. Step 5: Solve for x
    x = 900,695,056.58/42,283.17
  6. Step 6: Final answer
    x = 21,301.50

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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.