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Finding the Fourth Proportional to 38,586.38, 53,256.02 and 22,670.82

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Solution

The fourth proportional to 38,586.38, 53,256.02 and 22,670.82 is: 31,289.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,586.38 : 53,256.02 = 22,670.82 : x
  2. Step 2: Convert to fraction form
    38,586.38/53,256.02 = 22,670.82/x
  3. Step 3: Cross multiply
    38,586.38x = 53,256.02 × 22,670.82
  4. Step 4: Simplify right side
    38,586.38x = 1,207,357,643.34
  5. Step 5: Solve for x
    x = 1,207,357,643.34/38,586.38
  6. Step 6: Final answer
    x = 31,289.74

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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.