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Finding the Fourth Proportional to 91,598.40, 137,394 and 32,431.68

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Solution

The fourth proportional to 91,598.40, 137,394 and 32,431.68 is: 48,646.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,598.40 : 137,394 = 32,431.68 : x
  2. Step 2: Convert to fraction form
    91,598.40/137,394 = 32,431.68/x
  3. Step 3: Cross multiply
    91,598.40x = 137,394 × 32,431.68
  4. Step 4: Simplify right side
    91,598.40x = 4,455,918,241.92
  5. Step 5: Solve for x
    x = 4,455,918,241.92/91,598.40
  6. Step 6: Final answer
    x = 48,646.25

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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.