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Finding the Fourth Proportional to 82,970.80, 124,383.30 and 49,704.10

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Solution

The fourth proportional to 82,970.80, 124,383.30 and 49,704.10 is: 74,512.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,970.80 : 124,383.30 = 49,704.10 : x
  2. Step 2: Convert to fraction form
    82,970.80/124,383.30 = 49,704.10/x
  3. Step 3: Cross multiply
    82,970.80x = 124,383.30 × 49,704.10
  4. Step 4: Simplify right side
    82,970.80x = 6,182,359,981.53
  5. Step 5: Solve for x
    x = 6,182,359,981.53/82,970.80
  6. Step 6: Final answer
    x = 74,512.48

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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.