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Finding the Fourth Proportional to 38,009.68, 52,457.92 and 22,094.13

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Solution

The fourth proportional to 38,009.68, 52,457.92 and 22,094.13 is: 30,492.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,009.68 : 52,457.92 = 22,094.13 : x
  2. Step 2: Convert to fraction form
    38,009.68/52,457.92 = 22,094.13/x
  3. Step 3: Cross multiply
    38,009.68x = 52,457.92 × 22,094.13
  4. Step 4: Simplify right side
    38,009.68x = 1,159,012,104.01
  5. Step 5: Solve for x
    x = 1,159,012,104.01/38,009.68
  6. Step 6: Final answer
    x = 30,492.55

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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.