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Finding the Fourth Proportional to 48,492.64, 72,738.96 and 13,432.31

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Solution

The fourth proportional to 48,492.64, 72,738.96 and 13,432.31 is: 20,148.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,492.64 : 72,738.96 = 13,432.31 : x
  2. Step 2: Convert to fraction form
    48,492.64/72,738.96 = 13,432.31/x
  3. Step 3: Cross multiply
    48,492.64x = 72,738.96 × 13,432.31
  4. Step 4: Simplify right side
    48,492.64x = 977,051,828.94
  5. Step 5: Solve for x
    x = 977,051,828.94/48,492.64
  6. Step 6: Final answer
    x = 20,148.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.