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Finding the Fourth Proportional to 97,765.34, 134,884.71 and 54,738.50

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Solution

The fourth proportional to 97,765.34, 134,884.71 and 54,738.50 is: 75,521.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,765.34 : 134,884.71 = 54,738.50 : x
  2. Step 2: Convert to fraction form
    97,765.34/134,884.71 = 54,738.50/x
  3. Step 3: Cross multiply
    97,765.34x = 134,884.71 × 54,738.50
  4. Step 4: Simplify right side
    97,765.34x = 7,383,386,023.91
  5. Step 5: Solve for x
    x = 7,383,386,023.91/97,765.34
  6. Step 6: Final answer
    x = 75,521.51

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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.