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Finding the Fourth Proportional to 32,547.70, 48,819.48 and 10,376.98

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Solution

The fourth proportional to 32,547.70, 48,819.48 and 10,376.98 is: 15,564.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,547.70 : 48,819.48 = 10,376.98 : x
  2. Step 2: Convert to fraction form
    32,547.70/48,819.48 = 10,376.98/x
  3. Step 3: Cross multiply
    32,547.70x = 48,819.48 × 10,376.98
  4. Step 4: Simplify right side
    32,547.70x = 506,598,767.57
  5. Step 5: Solve for x
    x = 506,598,767.57/32,547.70
  6. Step 6: Final answer
    x = 15,564.81

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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.