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Finding the Fourth Proportional to 82,572.95, 123,859.43 and 23,409.14

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Solution

The fourth proportional to 82,572.95, 123,859.43 and 23,409.14 is: 35,113.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,572.95 : 123,859.43 = 23,409.14 : x
  2. Step 2: Convert to fraction form
    82,572.95/123,859.43 = 23,409.14/x
  3. Step 3: Cross multiply
    82,572.95x = 123,859.43 × 23,409.14
  4. Step 4: Simplify right side
    82,572.95x = 2,899,442,088.63
  5. Step 5: Solve for x
    x = 2,899,442,088.63/82,572.95
  6. Step 6: Final answer
    x = 35,113.70

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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.