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Finding the Fourth Proportional to 38,430.32, 53,046.96 and 22,519.84

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Solution

The fourth proportional to 38,430.32, 53,046.96 and 22,519.84 is: 31,085.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,430.32 : 53,046.96 = 22,519.84 : x
  2. Step 2: Convert to fraction form
    38,430.32/53,046.96 = 22,519.84/x
  3. Step 3: Cross multiply
    38,430.32x = 53,046.96 × 22,519.84
  4. Step 4: Simplify right side
    38,430.32x = 1,194,609,051.69
  5. Step 5: Solve for x
    x = 1,194,609,051.69/38,430.32
  6. Step 6: Final answer
    x = 31,085.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.