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Finding the Fourth Proportional to 83,384.76, 115,077.54 and 47,566.56

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Solution

The fourth proportional to 83,384.76, 115,077.54 and 47,566.56 is: 65,645.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,384.76 : 115,077.54 = 47,566.56 : x
  2. Step 2: Convert to fraction form
    83,384.76/115,077.54 = 47,566.56/x
  3. Step 3: Cross multiply
    83,384.76x = 115,077.54 × 47,566.56
  4. Step 4: Simplify right side
    83,384.76x = 5,473,842,711.06
  5. Step 5: Solve for x
    x = 5,473,842,711.06/83,384.76
  6. Step 6: Final answer
    x = 65,645.60

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1.5x scale

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.