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Finding the Fourth Proportional to 34,433.92, 51,652.80 and 9,808

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Solution

The fourth proportional to 34,433.92, 51,652.80 and 9,808 is: 14,712.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,433.92 : 51,652.80 = 9,808 : x
  2. Step 2: Convert to fraction form
    34,433.92/51,652.80 = 9,808/x
  3. Step 3: Cross multiply
    34,433.92x = 51,652.80 × 9,808
  4. Step 4: Simplify right side
    34,433.92x = 506,610,662.40
  5. Step 5: Solve for x
    x = 506,610,662.40/34,433.92
  6. Step 6: Final answer
    x = 14,712.55

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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.