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Finding the Fourth Proportional to 38,456.76, 53,029.35 and 30,376.20

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Solution

The fourth proportional to 38,456.76, 53,029.35 and 30,376.20 is: 41,886.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,456.76 : 53,029.35 = 30,376.20 : x
  2. Step 2: Convert to fraction form
    38,456.76/53,029.35 = 30,376.20/x
  3. Step 3: Cross multiply
    38,456.76x = 53,029.35 × 30,376.20
  4. Step 4: Simplify right side
    38,456.76x = 1,610,830,141.47
  5. Step 5: Solve for x
    x = 1,610,830,141.47/38,456.76
  6. Step 6: Final answer
    x = 41,886.79

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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.