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Finding the Fourth Proportional to 97,312.80, 134,291.68 and 54,871.34

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Solution

The fourth proportional to 97,312.80, 134,291.68 and 54,871.34 is: 75,722.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,312.80 : 134,291.68 = 54,871.34 : x
  2. Step 2: Convert to fraction form
    97,312.80/134,291.68 = 54,871.34/x
  3. Step 3: Cross multiply
    97,312.80x = 134,291.68 × 54,871.34
  4. Step 4: Simplify right side
    97,312.80x = 7,368,764,432.45
  5. Step 5: Solve for x
    x = 7,368,764,432.45/97,312.80
  6. Step 6: Final answer
    x = 75,722.46

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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.