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Finding the Fourth Proportional to 61,829.88, 92,689.86 and 22,378.28

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Solution

The fourth proportional to 61,829.88, 92,689.86 and 22,378.28 is: 33,547.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,829.88 : 92,689.86 = 22,378.28 : x
  2. Step 2: Convert to fraction form
    61,829.88/92,689.86 = 22,378.28/x
  3. Step 3: Cross multiply
    61,829.88x = 92,689.86 × 22,378.28
  4. Step 4: Simplify right side
    61,829.88x = 2,074,239,640.24
  5. Step 5: Solve for x
    x = 2,074,239,640.24/61,829.88
  6. Step 6: Final answer
    x = 33,547.53

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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.