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Finding the Fourth Proportional to 97,886.30, 135,050.96 and 54,859.50

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Solution

The fourth proportional to 97,886.30, 135,050.96 and 54,859.50 is: 75,688.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,886.30 : 135,050.96 = 54,859.50 : x
  2. Step 2: Convert to fraction form
    97,886.30/135,050.96 = 54,859.50/x
  3. Step 3: Cross multiply
    97,886.30x = 135,050.96 × 54,859.50
  4. Step 4: Simplify right side
    97,886.30x = 7,408,828,140.12
  5. Step 5: Solve for x
    x = 7,408,828,140.12/97,886.30
  6. Step 6: Final answer
    x = 75,688.10

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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.