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Finding the Fourth Proportional to 61,499.64, 84,854.58 and 34,642.14

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Solution

The fourth proportional to 61,499.64, 84,854.58 and 34,642.14 is: 47,797.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,499.64 : 84,854.58 = 34,642.14 : x
  2. Step 2: Convert to fraction form
    61,499.64/84,854.58 = 34,642.14/x
  3. Step 3: Cross multiply
    61,499.64x = 84,854.58 × 34,642.14
  4. Step 4: Simplify right side
    61,499.64x = 2,939,544,240.00
  5. Step 5: Solve for x
    x = 2,939,544,240.00/61,499.64
  6. Step 6: Final answer
    x = 47,797.75

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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.