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Finding the Fourth Proportional to 83,308.13, 114,962.35 and 47,509.66

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Solution

The fourth proportional to 83,308.13, 114,962.35 and 47,509.66 is: 65,561.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,308.13 : 114,962.35 = 47,509.66 : x
  2. Step 2: Convert to fraction form
    83,308.13/114,962.35 = 47,509.66/x
  3. Step 3: Cross multiply
    83,308.13x = 114,962.35 × 47,509.66
  4. Step 4: Simplify right side
    83,308.13x = 5,461,822,161.30
  5. Step 5: Solve for x
    x = 5,461,822,161.30/83,308.13
  6. Step 6: Final answer
    x = 65,561.69

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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.