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Finding the Fourth Proportional to 78,223.83, 107,948.21 and 44,239.01

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Solution

The fourth proportional to 78,223.83, 107,948.21 and 44,239.01 is: 61,049.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,223.83 : 107,948.21 = 44,239.01 : x
  2. Step 2: Convert to fraction form
    78,223.83/107,948.21 = 44,239.01/x
  3. Step 3: Cross multiply
    78,223.83x = 107,948.21 × 44,239.01
  4. Step 4: Simplify right side
    78,223.83x = 4,775,521,180.74
  5. Step 5: Solve for x
    x = 4,775,521,180.74/78,223.83
  6. Step 6: Final answer
    x = 61,049.44

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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.