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Finding the Fourth Proportional to 32,410, 48,615 and 10,522

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Solution

The fourth proportional to 32,410, 48,615 and 10,522 is: 15,783

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,410 : 48,615 = 10,522 : x
  2. Step 2: Convert to fraction form
    32,410/48,615 = 10,522/x
  3. Step 3: Cross multiply
    32,410x = 48,615 × 10,522
  4. Step 4: Simplify right side
    32,410x = 511,527,030
  5. Step 5: Solve for x
    x = 511,527,030/32,410
  6. Step 6: Final answer
    x = 15,783

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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.