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Finding the Fourth Proportional to 82,957.32, 114,489.32 and 48,977.01

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Solution

The fourth proportional to 82,957.32, 114,489.32 and 48,977.01 is: 67,593.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,957.32 : 114,489.32 = 48,977.01 : x
  2. Step 2: Convert to fraction form
    82,957.32/114,489.32 = 48,977.01/x
  3. Step 3: Cross multiply
    82,957.32x = 114,489.32 × 48,977.01
  4. Step 4: Simplify right side
    82,957.32x = 5,607,344,325.65
  5. Step 5: Solve for x
    x = 5,607,344,325.65/82,957.32
  6. Step 6: Final answer
    x = 67,593.12

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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.