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Finding the Fourth Proportional to 65,014.30, 97,531.14 and 20,031.89

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Solution

The fourth proportional to 65,014.30, 97,531.14 and 20,031.89 is: 30,050.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,014.30 : 97,531.14 = 20,031.89 : x
  2. Step 2: Convert to fraction form
    65,014.30/97,531.14 = 20,031.89/x
  3. Step 3: Cross multiply
    65,014.30x = 97,531.14 × 20,031.89
  4. Step 4: Simplify right side
    65,014.30x = 1,953,733,526.81
  5. Step 5: Solve for x
    x = 1,953,733,526.81/65,014.30
  6. Step 6: Final answer
    x = 30,050.83

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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.