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Finding the Fourth Proportional to 38,047.38, 57,070.98 and 10,345.38

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Solution

The fourth proportional to 38,047.38, 57,070.98 and 10,345.38 is: 15,518.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,047.38 : 57,070.98 = 10,345.38 : x
  2. Step 2: Convert to fraction form
    38,047.38/57,070.98 = 10,345.38/x
  3. Step 3: Cross multiply
    38,047.38x = 57,070.98 × 10,345.38
  4. Step 4: Simplify right side
    38,047.38x = 590,420,975.07
  5. Step 5: Solve for x
    x = 590,420,975.07/38,047.38
  6. Step 6: Final answer
    x = 15,518.05

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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.