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Finding the Fourth Proportional to 38,117.63, 52,602.33 and 23,213.63

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Solution

The fourth proportional to 38,117.63, 52,602.33 and 23,213.63 is: 32,034.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,117.63 : 52,602.33 = 23,213.63 : x
  2. Step 2: Convert to fraction form
    38,117.63/52,602.33 = 23,213.63/x
  3. Step 3: Cross multiply
    38,117.63x = 52,602.33 × 23,213.63
  4. Step 4: Simplify right side
    38,117.63x = 1,221,090,646.68
  5. Step 5: Solve for x
    x = 1,221,090,646.68/38,117.63
  6. Step 6: Final answer
    x = 32,034.80

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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.