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Finding the Fourth Proportional to 97,038.19, 145,668 and 65,041.02

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Solution

The fourth proportional to 97,038.19, 145,668 and 65,041.02 is: 97,635.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,038.19 : 145,668 = 65,041.02 : x
  2. Step 2: Convert to fraction form
    97,038.19/145,668 = 65,041.02/x
  3. Step 3: Cross multiply
    97,038.19x = 145,668 × 65,041.02
  4. Step 4: Simplify right side
    97,038.19x = 9,474,394,573.02
  5. Step 5: Solve for x
    x = 9,474,394,573.02/97,038.19
  6. Step 6: Final answer
    x = 97,635.73

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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.