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Finding the Fourth Proportional to 97,348.11, 134,364.87 and 54,931.11

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Solution

The fourth proportional to 97,348.11, 134,364.87 and 54,931.11 is: 75,818.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,348.11 : 134,364.87 = 54,931.11 : x
  2. Step 2: Convert to fraction form
    97,348.11/134,364.87 = 54,931.11/x
  3. Step 3: Cross multiply
    97,348.11x = 134,364.87 × 54,931.11
  4. Step 4: Simplify right side
    97,348.11x = 7,380,811,454.11
  5. Step 5: Solve for x
    x = 7,380,811,454.11/97,348.11
  6. Step 6: Final answer
    x = 75,818.74

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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.