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Finding the Fourth Proportional to 82,748, 114,194.67 and 45,024.68

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Solution

The fourth proportional to 82,748, 114,194.67 and 45,024.68 is: 62,135.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,748 : 114,194.67 = 45,024.68 : x
  2. Step 2: Convert to fraction form
    82,748/114,194.67 = 45,024.68/x
  3. Step 3: Cross multiply
    82,748x = 114,194.67 × 45,024.68
  4. Step 4: Simplify right side
    82,748x = 5,141,578,474.46
  5. Step 5: Solve for x
    x = 5,141,578,474.46/82,748
  6. Step 6: Final answer
    x = 62,135.38

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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.