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Finding the Fourth Proportional to 82,695.57, 124,024.68 and 23,529.93

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Solution

The fourth proportional to 82,695.57, 124,024.68 and 23,529.93 is: 35,289.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,695.57 : 124,024.68 = 23,529.93 : x
  2. Step 2: Convert to fraction form
    82,695.57/124,024.68 = 23,529.93/x
  3. Step 3: Cross multiply
    82,695.57x = 124,024.68 × 23,529.93
  4. Step 4: Simplify right side
    82,695.57x = 2,918,292,038.67
  5. Step 5: Solve for x
    x = 2,918,292,038.67/82,695.57
  6. Step 6: Final answer
    x = 35,289.58

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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.