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Finding the Fourth Proportional to 61,868.64, 85,378.29 and 33,574.34

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Solution

The fourth proportional to 61,868.64, 85,378.29 and 33,574.34 is: 46,332.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,868.64 : 85,378.29 = 33,574.34 : x
  2. Step 2: Convert to fraction form
    61,868.64/85,378.29 = 33,574.34/x
  3. Step 3: Cross multiply
    61,868.64x = 85,378.29 × 33,574.34
  4. Step 4: Simplify right side
    61,868.64x = 2,866,519,310.19
  5. Step 5: Solve for x
    x = 2,866,519,310.19/61,868.64
  6. Step 6: Final answer
    x = 46,332.35

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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.