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Finding the Fourth Proportional to 61,873.50, 85,386.71 and 35,016

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Solution

The fourth proportional to 61,873.50, 85,386.71 and 35,016 is: 48,322.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,873.50 : 85,386.71 = 35,016 : x
  2. Step 2: Convert to fraction form
    61,873.50/85,386.71 = 35,016/x
  3. Step 3: Cross multiply
    61,873.50x = 85,386.71 × 35,016
  4. Step 4: Simplify right side
    61,873.50x = 2,989,900,862.28
  5. Step 5: Solve for x
    x = 2,989,900,862.28/61,873.50
  6. Step 6: Final answer
    x = 48,322.80

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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.