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Finding the Fourth Proportional to 72,911.60, 109,307.40 and 32,933.20

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Solution

The fourth proportional to 72,911.60, 109,307.40 and 32,933.20 is: 49,372.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,911.60 : 109,307.40 = 32,933.20 : x
  2. Step 2: Convert to fraction form
    72,911.60/109,307.40 = 32,933.20/x
  3. Step 3: Cross multiply
    72,911.60x = 109,307.40 × 32,933.20
  4. Step 4: Simplify right side
    72,911.60x = 3,599,842,465.68
  5. Step 5: Solve for x
    x = 3,599,842,465.68/72,911.60
  6. Step 6: Final answer
    x = 49,372.70

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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.