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Finding the Fourth Proportional to 61,842.48, 85,340.34 and 33,547.56

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Solution

The fourth proportional to 61,842.48, 85,340.34 and 33,547.56 is: 46,294.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,842.48 : 85,340.34 = 33,547.56 : x
  2. Step 2: Convert to fraction form
    61,842.48/85,340.34 = 33,547.56/x
  3. Step 3: Cross multiply
    61,842.48x = 85,340.34 × 33,547.56
  4. Step 4: Simplify right side
    61,842.48x = 2,862,960,176.57
  5. Step 5: Solve for x
    x = 2,862,960,176.57/61,842.48
  6. Step 6: Final answer
    x = 46,294.39

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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.