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Finding the Fourth Proportional to 83,224.48, 114,849.90 and 45,498.76

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Solution

The fourth proportional to 83,224.48, 114,849.90 and 45,498.76 is: 62,788.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,224.48 : 114,849.90 = 45,498.76 : x
  2. Step 2: Convert to fraction form
    83,224.48/114,849.90 = 45,498.76/x
  3. Step 3: Cross multiply
    83,224.48x = 114,849.90 × 45,498.76
  4. Step 4: Simplify right side
    83,224.48x = 5,225,528,036.12
  5. Step 5: Solve for x
    x = 5,225,528,036.12/83,224.48
  6. Step 6: Final answer
    x = 62,788.35

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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.