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Finding the Fourth Proportional to 78,270.30, 108,039.42 and 52,760.16

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Solution

The fourth proportional to 78,270.30, 108,039.42 and 52,760.16 is: 72,826.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,270.30 : 108,039.42 = 52,760.16 : x
  2. Step 2: Convert to fraction form
    78,270.30/108,039.42 = 52,760.16/x
  3. Step 3: Cross multiply
    78,270.30x = 108,039.42 × 52,760.16
  4. Step 4: Simplify right side
    78,270.30x = 5,700,177,085.51
  5. Step 5: Solve for x
    x = 5,700,177,085.51/78,270.30
  6. Step 6: Final answer
    x = 72,826.82

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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.