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Finding the Fourth Proportional to 65,091.90, 97,421.85 and 47,271.90

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Solution

The fourth proportional to 65,091.90, 97,421.85 and 47,271.90 is: 70,750.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,091.90 : 97,421.85 = 47,271.90 : x
  2. Step 2: Convert to fraction form
    65,091.90/97,421.85 = 47,271.90/x
  3. Step 3: Cross multiply
    65,091.90x = 97,421.85 × 47,271.90
  4. Step 4: Simplify right side
    65,091.90x = 4,605,315,951.02
  5. Step 5: Solve for x
    x = 4,605,315,951.02/65,091.90
  6. Step 6: Final answer
    x = 70,750.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.