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Finding the Fourth Proportional to 32,082.76, 48,133.86 and 14,547.88

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Solution

The fourth proportional to 32,082.76, 48,133.86 and 14,547.88 is: 21,826.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,082.76 : 48,133.86 = 14,547.88 : x
  2. Step 2: Convert to fraction form
    32,082.76/48,133.86 = 14,547.88/x
  3. Step 3: Cross multiply
    32,082.76x = 48,133.86 × 14,547.88
  4. Step 4: Simplify right side
    32,082.76x = 700,245,619.22
  5. Step 5: Solve for x
    x = 700,245,619.22/32,082.76
  6. Step 6: Final answer
    x = 21,826.23

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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.