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Finding the Fourth Proportional to 38,495.76, 53,124.36 and 22,580.52

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Solution

The fourth proportional to 38,495.76, 53,124.36 and 22,580.52 is: 31,161.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,495.76 : 53,124.36 = 22,580.52 : x
  2. Step 2: Convert to fraction form
    38,495.76/53,124.36 = 22,580.52/x
  3. Step 3: Cross multiply
    38,495.76x = 53,124.36 × 22,580.52
  4. Step 4: Simplify right side
    38,495.76x = 1,199,575,673.47
  5. Step 5: Solve for x
    x = 1,199,575,673.47/38,495.76
  6. Step 6: Final answer
    x = 31,161.24

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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.