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Finding the Fourth Proportional to 83,957.08, 115,823.29 and 56,724.38

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Solution

The fourth proportional to 83,957.08, 115,823.29 and 56,724.38 is: 78,254.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,957.08 : 115,823.29 = 56,724.38 : x
  2. Step 2: Convert to fraction form
    83,957.08/115,823.29 = 56,724.38/x
  3. Step 3: Cross multiply
    83,957.08x = 115,823.29 × 56,724.38
  4. Step 4: Simplify right side
    83,957.08x = 6,570,003,968.36
  5. Step 5: Solve for x
    x = 6,570,003,968.36/83,957.08
  6. Step 6: Final answer
    x = 78,254.32

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Why These Related Problems?

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