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Finding the Fourth Proportional to 78,322.69, 108,082.40 and 42,511.93

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Solution

The fourth proportional to 78,322.69, 108,082.40 and 42,511.93 is: 58,664.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,322.69 : 108,082.40 = 42,511.93 : x
  2. Step 2: Convert to fraction form
    78,322.69/108,082.40 = 42,511.93/x
  3. Step 3: Cross multiply
    78,322.69x = 108,082.40 × 42,511.93
  4. Step 4: Simplify right side
    78,322.69x = 4,594,791,423.03
  5. Step 5: Solve for x
    x = 4,594,791,423.03/78,322.69
  6. Step 6: Final answer
    x = 58,664.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.