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Finding the Fourth Proportional to 97,575.60, 146,266.20 and 44,893.20

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Solution

The fourth proportional to 97,575.60, 146,266.20 and 44,893.20 is: 67,295.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,575.60 : 146,266.20 = 44,893.20 : x
  2. Step 2: Convert to fraction form
    97,575.60/146,266.20 = 44,893.20/x
  3. Step 3: Cross multiply
    97,575.60x = 146,266.20 × 44,893.20
  4. Step 4: Simplify right side
    97,575.60x = 6,566,357,769.84
  5. Step 5: Solve for x
    x = 6,566,357,769.84/97,575.60
  6. Step 6: Final answer
    x = 67,295.08

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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.