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Finding the Fourth Proportional to 32,492.85, 48,741.01 and 10,308.00

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Solution

The fourth proportional to 32,492.85, 48,741.01 and 10,308.00 is: 15,462.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,492.85 : 48,741.01 = 10,308.00 : x
  2. Step 2: Convert to fraction form
    32,492.85/48,741.01 = 10,308.00/x
  3. Step 3: Cross multiply
    32,492.85x = 48,741.01 × 10,308.00
  4. Step 4: Simplify right side
    32,492.85x = 502,422,478.70
  5. Step 5: Solve for x
    x = 502,422,478.70/32,492.85
  6. Step 6: Final answer
    x = 15,462.55

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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.