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Finding the Fourth Proportional to 113,432.16, 170,148.24 and 30,324

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Solution

The fourth proportional to 113,432.16, 170,148.24 and 30,324 is: 45,486.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,432.16 : 170,148.24 = 30,324 : x
  2. Step 2: Convert to fraction form
    113,432.16/170,148.24 = 30,324/x
  3. Step 3: Cross multiply
    113,432.16x = 170,148.24 × 30,324
  4. Step 4: Simplify right side
    113,432.16x = 5,159,575,229.76
  5. Step 5: Solve for x
    x = 5,159,575,229.76/113,432.16
  6. Step 6: Final answer
    x = 45,486.00

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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.