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Finding the Fourth Proportional to 72,924, 100,635.16 and 39,390

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Solution

The fourth proportional to 72,924, 100,635.16 and 39,390 is: 54,358.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,924 : 100,635.16 = 39,390 : x
  2. Step 2: Convert to fraction form
    72,924/100,635.16 = 39,390/x
  3. Step 3: Cross multiply
    72,924x = 100,635.16 × 39,390
  4. Step 4: Simplify right side
    72,924x = 3,964,018,952.40
  5. Step 5: Solve for x
    x = 3,964,018,952.40/72,924
  6. Step 6: Final answer
    x = 54,358.22

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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.