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Finding the Fourth Proportional to 52,246, 72,100.92 and 30,737.35

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Solution

The fourth proportional to 52,246, 72,100.92 and 30,737.35 is: 42,418.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,246 : 72,100.92 = 30,737.35 : x
  2. Step 2: Convert to fraction form
    52,246/72,100.92 = 30,737.35/x
  3. Step 3: Cross multiply
    52,246x = 72,100.92 × 30,737.35
  4. Step 4: Simplify right side
    52,246x = 2,216,191,213.36
  5. Step 5: Solve for x
    x = 2,216,191,213.36/52,246
  6. Step 6: Final answer
    x = 42,418.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.