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Finding the Fourth Proportional to 113,538.30, 170,307.45 and 30,432.30

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Solution

The fourth proportional to 113,538.30, 170,307.45 and 30,432.30 is: 45,648.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,538.30 : 170,307.45 = 30,432.30 : x
  2. Step 2: Convert to fraction form
    113,538.30/170,307.45 = 30,432.30/x
  3. Step 3: Cross multiply
    113,538.30x = 170,307.45 × 30,432.30
  4. Step 4: Simplify right side
    113,538.30x = 5,182,847,410.64
  5. Step 5: Solve for x
    x = 5,182,847,410.64/113,538.30
  6. Step 6: Final answer
    x = 45,648.45

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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.