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Finding the Fourth Proportional to 42,307.56, 63,416.68 and 14,200.96

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Solution

The fourth proportional to 42,307.56, 63,416.68 and 14,200.96 is: 21,286.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,307.56 : 63,416.68 = 14,200.96 : x
  2. Step 2: Convert to fraction form
    42,307.56/63,416.68 = 14,200.96/x
  3. Step 3: Cross multiply
    42,307.56x = 63,416.68 × 14,200.96
  4. Step 4: Simplify right side
    42,307.56x = 900,577,736.01
  5. Step 5: Solve for x
    x = 900,577,736.01/42,307.56
  6. Step 6: Final answer
    x = 21,286.45

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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.