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Finding the Fourth Proportional to 65,842.47, 90,862.36 and 35,627.95

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Solution

The fourth proportional to 65,842.47, 90,862.36 and 35,627.95 is: 49,166.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,842.47 : 90,862.36 = 35,627.95 : x
  2. Step 2: Convert to fraction form
    65,842.47/90,862.36 = 35,627.95/x
  3. Step 3: Cross multiply
    65,842.47x = 90,862.36 × 35,627.95
  4. Step 4: Simplify right side
    65,842.47x = 3,237,239,643.47
  5. Step 5: Solve for x
    x = 3,237,239,643.47/65,842.47
  6. Step 6: Final answer
    x = 49,166.44

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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.