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Finding the Fourth Proportional to 38,030.24, 57,046.24 and 13,070.08

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Solution

The fourth proportional to 38,030.24, 57,046.24 and 13,070.08 is: 19,605.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,030.24 : 57,046.24 = 13,070.08 : x
  2. Step 2: Convert to fraction form
    38,030.24/57,046.24 = 13,070.08/x
  3. Step 3: Cross multiply
    38,030.24x = 57,046.24 × 13,070.08
  4. Step 4: Simplify right side
    38,030.24x = 745,598,920.50
  5. Step 5: Solve for x
    x = 745,598,920.50/38,030.24
  6. Step 6: Final answer
    x = 19,605.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.