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Finding the Fourth Proportional to 30,695.40, 42,334.38 and 18,108

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Solution

The fourth proportional to 30,695.40, 42,334.38 and 18,108 is: 24,974.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,695.40 : 42,334.38 = 18,108 : x
  2. Step 2: Convert to fraction form
    30,695.40/42,334.38 = 18,108/x
  3. Step 3: Cross multiply
    30,695.40x = 42,334.38 × 18,108
  4. Step 4: Simplify right side
    30,695.40x = 766,590,953.04
  5. Step 5: Solve for x
    x = 766,590,953.04/30,695.40
  6. Step 6: Final answer
    x = 24,974.13

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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.