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Finding the Fourth Proportional to 97,315.80, 145,973.70 and 34,992.60

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Solution

The fourth proportional to 97,315.80, 145,973.70 and 34,992.60 is: 52,488.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,315.80 : 145,973.70 = 34,992.60 : x
  2. Step 2: Convert to fraction form
    97,315.80/145,973.70 = 34,992.60/x
  3. Step 3: Cross multiply
    97,315.80x = 145,973.70 × 34,992.60
  4. Step 4: Simplify right side
    97,315.80x = 5,107,999,294.62
  5. Step 5: Solve for x
    x = 5,107,999,294.62/97,315.80
  6. Step 6: Final answer
    x = 52,488.90

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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.