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Finding the Fourth Proportional to 83,507, 115,239.66 and 45,781.52

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Solution

The fourth proportional to 83,507, 115,239.66 and 45,781.52 is: 63,178.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,507 : 115,239.66 = 45,781.52 : x
  2. Step 2: Convert to fraction form
    83,507/115,239.66 = 45,781.52/x
  3. Step 3: Cross multiply
    83,507x = 115,239.66 × 45,781.52
  4. Step 4: Simplify right side
    83,507x = 5,275,846,799.08
  5. Step 5: Solve for x
    x = 5,275,846,799.08/83,507
  6. Step 6: Final answer
    x = 63,178.50

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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.