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Finding the Fourth Proportional to 61,838.80, 85,323.36 and 34,975.48

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Solution

The fourth proportional to 61,838.80, 85,323.36 and 34,975.48 is: 48,258.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,838.80 : 85,323.36 = 34,975.48 : x
  2. Step 2: Convert to fraction form
    61,838.80/85,323.36 = 34,975.48/x
  3. Step 3: Cross multiply
    61,838.80x = 85,323.36 × 34,975.48
  4. Step 4: Simplify right side
    61,838.80x = 2,984,225,471.21
  5. Step 5: Solve for x
    x = 2,984,225,471.21/61,838.80
  6. Step 6: Final answer
    x = 48,258.14

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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.