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Finding the Fourth Proportional to 83,210.88, 114,822.36 and 47,393.40

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Solution

The fourth proportional to 83,210.88, 114,822.36 and 47,393.40 is: 65,397.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,210.88 : 114,822.36 = 47,393.40 : x
  2. Step 2: Convert to fraction form
    83,210.88/114,822.36 = 47,393.40/x
  3. Step 3: Cross multiply
    83,210.88x = 114,822.36 × 47,393.40
  4. Step 4: Simplify right side
    83,210.88x = 5,441,822,036.42
  5. Step 5: Solve for x
    x = 5,441,822,036.42/83,210.88
  6. Step 6: Final answer
    x = 65,397.96

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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.