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Finding the Fourth Proportional to 84,697.80, 116,933.65 and 52,909.76

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Solution

The fourth proportional to 84,697.80, 116,933.65 and 52,909.76 is: 73,047.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,697.80 : 116,933.65 = 52,909.76 : x
  2. Step 2: Convert to fraction form
    84,697.80/116,933.65 = 52,909.76/x
  3. Step 3: Cross multiply
    84,697.80x = 116,933.65 × 52,909.76
  4. Step 4: Simplify right side
    84,697.80x = 6,186,931,008.54
  5. Step 5: Solve for x
    x = 6,186,931,008.54/84,697.80
  6. Step 6: Final answer
    x = 73,047.13

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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.