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Finding the Fourth Proportional to 38,035.38, 57,038.88 and 13,068.36

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Solution

The fourth proportional to 38,035.38, 57,038.88 and 13,068.36 is: 19,597.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,035.38 : 57,038.88 = 13,068.36 : x
  2. Step 2: Convert to fraction form
    38,035.38/57,038.88 = 13,068.36/x
  3. Step 3: Cross multiply
    38,035.38x = 57,038.88 × 13,068.36
  4. Step 4: Simplify right side
    38,035.38x = 745,404,617.84
  5. Step 5: Solve for x
    x = 745,404,617.84/38,035.38
  6. Step 6: Final answer
    x = 19,597.66

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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.