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Finding the Fourth Proportional to 61,184.64, 84,435 and 35,708.52

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Solution

The fourth proportional to 61,184.64, 84,435 and 35,708.52 is: 49,277.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,184.64 : 84,435 = 35,708.52 : x
  2. Step 2: Convert to fraction form
    61,184.64/84,435 = 35,708.52/x
  3. Step 3: Cross multiply
    61,184.64x = 84,435 × 35,708.52
  4. Step 4: Simplify right side
    61,184.64x = 3,015,048,886.20
  5. Step 5: Solve for x
    x = 3,015,048,886.20/61,184.64
  6. Step 6: Final answer
    x = 49,277.87

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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.