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Finding the Fourth Proportional to 82,407.48, 113,721.30 and 44,681.64

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Solution

The fourth proportional to 82,407.48, 113,721.30 and 44,681.64 is: 61,660.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,407.48 : 113,721.30 = 44,681.64 : x
  2. Step 2: Convert to fraction form
    82,407.48/113,721.30 = 44,681.64/x
  3. Step 3: Cross multiply
    82,407.48x = 113,721.30 × 44,681.64
  4. Step 4: Simplify right side
    82,407.48x = 5,081,254,186.93
  5. Step 5: Solve for x
    x = 5,081,254,186.93/82,407.48
  6. Step 6: Final answer
    x = 61,660.11

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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.