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Finding the Fourth Proportional to 38,495.71, 53,114.99 and 22,353.42

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Solution

The fourth proportional to 38,495.71, 53,114.99 and 22,353.42 is: 30,842.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,495.71 : 53,114.99 = 22,353.42 : x
  2. Step 2: Convert to fraction form
    38,495.71/53,114.99 = 22,353.42/x
  3. Step 3: Cross multiply
    38,495.71x = 53,114.99 × 22,353.42
  4. Step 4: Simplify right side
    38,495.71x = 1,187,301,594.15
  5. Step 5: Solve for x
    x = 1,187,301,594.15/38,495.71
  6. Step 6: Final answer
    x = 30,842.44

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1.5x scale

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.