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Finding the Fourth Proportional to 82,988.48, 114,522.72 and 45,260.48

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Solution

The fourth proportional to 82,988.48, 114,522.72 and 45,260.48 is: 62,458.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,988.48 : 114,522.72 = 45,260.48 : x
  2. Step 2: Convert to fraction form
    82,988.48/114,522.72 = 45,260.48/x
  3. Step 3: Cross multiply
    82,988.48x = 114,522.72 × 45,260.48
  4. Step 4: Simplify right side
    82,988.48x = 5,183,353,278.11
  5. Step 5: Solve for x
    x = 5,183,353,278.11/82,988.48
  6. Step 6: Final answer
    x = 62,458.71

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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.