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Finding the Fourth Proportional to 101,909.94, 152,851.11 and 38,746

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Solution

The fourth proportional to 101,909.94, 152,851.11 and 38,746 is: 58,113.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,909.94 : 152,851.11 = 38,746 : x
  2. Step 2: Convert to fraction form
    101,909.94/152,851.11 = 38,746/x
  3. Step 3: Cross multiply
    101,909.94x = 152,851.11 × 38,746
  4. Step 4: Simplify right side
    101,909.94x = 5,922,369,108.06
  5. Step 5: Solve for x
    x = 5,922,369,108.06/101,909.94
  6. Step 6: Final answer
    x = 58,113.75

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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.