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Finding the Fourth Proportional to 72,034, 108,051.48 and 22,786

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Solution

The fourth proportional to 72,034, 108,051.48 and 22,786 is: 34,179.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,034 : 108,051.48 = 22,786 : x
  2. Step 2: Convert to fraction form
    72,034/108,051.48 = 22,786/x
  3. Step 3: Cross multiply
    72,034x = 108,051.48 × 22,786
  4. Step 4: Simplify right side
    72,034x = 2,462,061,023.28
  5. Step 5: Solve for x
    x = 2,462,061,023.28/72,034
  6. Step 6: Final answer
    x = 34,179.15

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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.