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Finding the Fourth Proportional to 48,377, 72,565.50 and 17,212.34

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Solution

The fourth proportional to 48,377, 72,565.50 and 17,212.34 is: 25,818.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,377 : 72,565.50 = 17,212.34 : x
  2. Step 2: Convert to fraction form
    48,377/72,565.50 = 17,212.34/x
  3. Step 3: Cross multiply
    48,377x = 72,565.50 × 17,212.34
  4. Step 4: Simplify right side
    48,377x = 1,249,022,058.27
  5. Step 5: Solve for x
    x = 1,249,022,058.27/48,377
  6. Step 6: Final answer
    x = 25,818.51

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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.