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Finding the Fourth Proportional to 78,291.84, 108,024 and 44,749.44

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Solution

The fourth proportional to 78,291.84, 108,024 and 44,749.44 is: 61,743.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,291.84 : 108,024 = 44,749.44 : x
  2. Step 2: Convert to fraction form
    78,291.84/108,024 = 44,749.44/x
  3. Step 3: Cross multiply
    78,291.84x = 108,024 × 44,749.44
  4. Step 4: Simplify right side
    78,291.84x = 4,834,013,506.56
  5. Step 5: Solve for x
    x = 4,834,013,506.56/78,291.84
  6. Step 6: Final answer
    x = 61,743.52

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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.