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Finding the Fourth Proportional to 97,013.50, 145,520.30 and 43,643.14

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Solution

The fourth proportional to 97,013.50, 145,520.30 and 43,643.14 is: 65,464.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,013.50 : 145,520.30 = 43,643.14 : x
  2. Step 2: Convert to fraction form
    97,013.50/145,520.30 = 43,643.14/x
  3. Step 3: Cross multiply
    97,013.50x = 145,520.30 × 43,643.14
  4. Step 4: Simplify right side
    97,013.50x = 6,350,962,825.74
  5. Step 5: Solve for x
    x = 6,350,962,825.74/97,013.50
  6. Step 6: Final answer
    x = 65,464.73

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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.