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Finding the Fourth Proportional to 78,438.72, 108,254.88 and 44,904

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Solution

The fourth proportional to 78,438.72, 108,254.88 and 44,904 is: 61,972.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,438.72 : 108,254.88 = 44,904 : x
  2. Step 2: Convert to fraction form
    78,438.72/108,254.88 = 44,904/x
  3. Step 3: Cross multiply
    78,438.72x = 108,254.88 × 44,904
  4. Step 4: Simplify right side
    78,438.72x = 4,861,077,131.52
  5. Step 5: Solve for x
    x = 4,861,077,131.52/78,438.72
  6. Step 6: Final answer
    x = 61,972.93

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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.