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Finding the Fourth Proportional to 65,000.25, 97,488.04 and 31,686.81

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Solution

The fourth proportional to 65,000.25, 97,488.04 and 31,686.81 is: 47,524.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,000.25 : 97,488.04 = 31,686.81 : x
  2. Step 2: Convert to fraction form
    65,000.25/97,488.04 = 31,686.81/x
  3. Step 3: Cross multiply
    65,000.25x = 97,488.04 × 31,686.81
  4. Step 4: Simplify right side
    65,000.25x = 3,089,085,000.75
  5. Step 5: Solve for x
    x = 3,089,085,000.75/65,000.25
  6. Step 6: Final answer
    x = 47,524.20

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