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Finding the Fourth Proportional to 38,047.68, 57,071.36 and 10,345.60

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Solution

The fourth proportional to 38,047.68, 57,071.36 and 10,345.60 is: 15,518.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,047.68 : 57,071.36 = 10,345.60 : x
  2. Step 2: Convert to fraction form
    38,047.68/57,071.36 = 10,345.60/x
  3. Step 3: Cross multiply
    38,047.68x = 57,071.36 × 10,345.60
  4. Step 4: Simplify right side
    38,047.68x = 590,437,462.02
  5. Step 5: Solve for x
    x = 590,437,462.02/38,047.68
  6. Step 6: Final answer
    x = 15,518.36

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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.