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Finding the Fourth Proportional to 83,270.88, 114,913.08 and 45,545.40

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Solution

The fourth proportional to 83,270.88, 114,913.08 and 45,545.40 is: 62,852.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,270.88 : 114,913.08 = 45,545.40 : x
  2. Step 2: Convert to fraction form
    83,270.88/114,913.08 = 45,545.40/x
  3. Step 3: Cross multiply
    83,270.88x = 114,913.08 × 45,545.40
  4. Step 4: Simplify right side
    83,270.88x = 5,233,762,193.83
  5. Step 5: Solve for x
    x = 5,233,762,193.83/83,270.88
  6. Step 6: Final answer
    x = 62,852.25

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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.