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Finding the Fourth Proportional to 78,098.36, 107,777.58 and 44,567.48

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Solution

The fourth proportional to 78,098.36, 107,777.58 and 44,567.48 is: 61,504.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,098.36 : 107,777.58 = 44,567.48 : x
  2. Step 2: Convert to fraction form
    78,098.36/107,777.58 = 44,567.48/x
  3. Step 3: Cross multiply
    78,098.36x = 107,777.58 × 44,567.48
  4. Step 4: Simplify right side
    78,098.36x = 4,803,375,141.10
  5. Step 5: Solve for x
    x = 4,803,375,141.10/78,098.36
  6. Step 6: Final answer
    x = 61,504.17

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1.5x scale

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.