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Finding the Fourth Proportional to 38,009.58, 57,014.40 and 10,307.58

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Solution

The fourth proportional to 38,009.58, 57,014.40 and 10,307.58 is: 15,461.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,009.58 : 57,014.40 = 10,307.58 : x
  2. Step 2: Convert to fraction form
    38,009.58/57,014.40 = 10,307.58/x
  3. Step 3: Cross multiply
    38,009.58x = 57,014.40 × 10,307.58
  4. Step 4: Simplify right side
    38,009.58x = 587,680,489.15
  5. Step 5: Solve for x
    x = 587,680,489.15/38,009.58
  6. Step 6: Final answer
    x = 15,461.38

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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.