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Finding the Fourth Proportional to 62,282.76, 85,952.79 and 35,430

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Solution

The fourth proportional to 62,282.76, 85,952.79 and 35,430 is: 48,894.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,282.76 : 85,952.79 = 35,430 : x
  2. Step 2: Convert to fraction form
    62,282.76/85,952.79 = 35,430/x
  3. Step 3: Cross multiply
    62,282.76x = 85,952.79 × 35,430
  4. Step 4: Simplify right side
    62,282.76x = 3,045,307,349.70
  5. Step 5: Solve for x
    x = 3,045,307,349.70/62,282.76
  6. Step 6: Final answer
    x = 48,894.87

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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.