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Finding the Fourth Proportional to 82,061.76, 123,114.80 and 25,904.16

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Solution

The fourth proportional to 82,061.76, 123,114.80 and 25,904.16 is: 38,863.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,061.76 : 123,114.80 = 25,904.16 : x
  2. Step 2: Convert to fraction form
    82,061.76/123,114.80 = 25,904.16/x
  3. Step 3: Cross multiply
    82,061.76x = 123,114.80 × 25,904.16
  4. Step 4: Simplify right side
    82,061.76x = 3,189,185,477.57
  5. Step 5: Solve for x
    x = 3,189,185,477.57/82,061.76
  6. Step 6: Final answer
    x = 38,863.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.