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Finding the Fourth Proportional to 83,455.79, 115,106.20 and 57,962.18

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Solution

The fourth proportional to 83,455.79, 115,106.20 and 57,962.18 is: 79,944.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,455.79 : 115,106.20 = 57,962.18 : x
  2. Step 2: Convert to fraction form
    83,455.79/115,106.20 = 57,962.18/x
  3. Step 3: Cross multiply
    83,455.79x = 115,106.20 × 57,962.18
  4. Step 4: Simplify right side
    83,455.79x = 6,671,806,426.38
  5. Step 5: Solve for x
    x = 6,671,806,426.38/83,455.79
  6. Step 6: Final answer
    x = 79,944.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.