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Finding the Fourth Proportional to 61,564.57, 84,954.01 and 34,713.67

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Solution

The fourth proportional to 61,564.57, 84,954.01 and 34,713.67 is: 47,901.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,564.57 : 84,954.01 = 34,713.67 : x
  2. Step 2: Convert to fraction form
    61,564.57/84,954.01 = 34,713.67/x
  3. Step 3: Cross multiply
    61,564.57x = 84,954.01 × 34,713.67
  4. Step 4: Simplify right side
    61,564.57x = 2,949,065,468.32
  5. Step 5: Solve for x
    x = 2,949,065,468.32/61,564.57
  6. Step 6: Final answer
    x = 47,901.99

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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.