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Finding the Fourth Proportional to 82,924.44, 124,399.02 and 26,746.08

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Solution

The fourth proportional to 82,924.44, 124,399.02 and 26,746.08 is: 40,123.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,924.44 : 124,399.02 = 26,746.08 : x
  2. Step 2: Convert to fraction form
    82,924.44/124,399.02 = 26,746.08/x
  3. Step 3: Cross multiply
    82,924.44x = 124,399.02 × 26,746.08
  4. Step 4: Simplify right side
    82,924.44x = 3,327,186,140.84
  5. Step 5: Solve for x
    x = 3,327,186,140.84/82,924.44
  6. Step 6: Final answer
    x = 40,123.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.