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Finding the Fourth Proportional to 82,681.32, 124,022 and 26,527.28

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Solution

The fourth proportional to 82,681.32, 124,022 and 26,527.28 is: 39,790.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,681.32 : 124,022 = 26,527.28 : x
  2. Step 2: Convert to fraction form
    82,681.32/124,022 = 26,527.28/x
  3. Step 3: Cross multiply
    82,681.32x = 124,022 × 26,527.28
  4. Step 4: Simplify right side
    82,681.32x = 3,289,966,320.16
  5. Step 5: Solve for x
    x = 3,289,966,320.16/82,681.32
  6. Step 6: Final answer
    x = 39,790.93

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