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Finding the Fourth Proportional to 97,334.76, 134,323.92 and 54,885

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Solution

The fourth proportional to 97,334.76, 134,323.92 and 54,885 is: 75,742.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,334.76 : 134,323.92 = 54,885 : x
  2. Step 2: Convert to fraction form
    97,334.76/134,323.92 = 54,885/x
  3. Step 3: Cross multiply
    97,334.76x = 134,323.92 × 54,885
  4. Step 4: Simplify right side
    97,334.76x = 7,372,368,349.20
  5. Step 5: Solve for x
    x = 7,372,368,349.20/97,334.76
  6. Step 6: Final answer
    x = 75,742.40

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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.