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Finding the Fourth Proportional to 72,833.44, 109,252.32 and 28,458.40

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Solution

The fourth proportional to 72,833.44, 109,252.32 and 28,458.40 is: 42,688.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,833.44 : 109,252.32 = 28,458.40 : x
  2. Step 2: Convert to fraction form
    72,833.44/109,252.32 = 28,458.40/x
  3. Step 3: Cross multiply
    72,833.44x = 109,252.32 × 28,458.40
  4. Step 4: Simplify right side
    72,833.44x = 3,109,146,223.49
  5. Step 5: Solve for x
    x = 3,109,146,223.49/72,833.44
  6. Step 6: Final answer
    x = 42,688.44

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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.