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Finding the Fourth Proportional to 82,507.51, 113,860.08 and 44,781.76

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Solution

The fourth proportional to 82,507.51, 113,860.08 and 44,781.76 is: 61,798.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,507.51 : 113,860.08 = 44,781.76 : x
  2. Step 2: Convert to fraction form
    82,507.51/113,860.08 = 44,781.76/x
  3. Step 3: Cross multiply
    82,507.51x = 113,860.08 × 44,781.76
  4. Step 4: Simplify right side
    82,507.51x = 5,098,854,918.47
  5. Step 5: Solve for x
    x = 5,098,854,918.47/82,507.51
  6. Step 6: Final answer
    x = 61,798.68

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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.