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Finding the Fourth Proportional to 38,440.34, 53,038.63 and 23,332.62

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Solution

The fourth proportional to 38,440.34, 53,038.63 and 23,332.62 is: 32,193.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,440.34 : 53,038.63 = 23,332.62 : x
  2. Step 2: Convert to fraction form
    38,440.34/53,038.63 = 23,332.62/x
  3. Step 3: Cross multiply
    38,440.34x = 53,038.63 × 23,332.62
  4. Step 4: Simplify right side
    38,440.34x = 1,237,530,427.17
  5. Step 5: Solve for x
    x = 1,237,530,427.17/38,440.34
  6. Step 6: Final answer
    x = 32,193.54

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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.