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Finding the Fourth Proportional to 38,971.70, 53,780.65 and 30,482.49

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Solution

The fourth proportional to 38,971.70, 53,780.65 and 30,482.49 is: 42,065.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,971.70 : 53,780.65 = 30,482.49 : x
  2. Step 2: Convert to fraction form
    38,971.70/53,780.65 = 30,482.49/x
  3. Step 3: Cross multiply
    38,971.70x = 53,780.65 × 30,482.49
  4. Step 4: Simplify right side
    38,971.70x = 1,639,368,125.82
  5. Step 5: Solve for x
    x = 1,639,368,125.82/38,971.70
  6. Step 6: Final answer
    x = 42,065.60

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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.