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Finding the Fourth Proportional to 82,575.84, 113,954.16 and 44,849.76

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Solution

The fourth proportional to 82,575.84, 113,954.16 and 44,849.76 is: 61,892.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,575.84 : 113,954.16 = 44,849.76 : x
  2. Step 2: Convert to fraction form
    82,575.84/113,954.16 = 44,849.76/x
  3. Step 3: Cross multiply
    82,575.84x = 113,954.16 × 44,849.76
  4. Step 4: Simplify right side
    82,575.84x = 5,110,816,727.00
  5. Step 5: Solve for x
    x = 5,110,816,727.00/82,575.84
  6. Step 6: Final answer
    x = 61,892.40

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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.