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Finding the Fourth Proportional to 32,670, 49,005 and 14,202

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Solution

The fourth proportional to 32,670, 49,005 and 14,202 is: 21,303

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,670 : 49,005 = 14,202 : x
  2. Step 2: Convert to fraction form
    32,670/49,005 = 14,202/x
  3. Step 3: Cross multiply
    32,670x = 49,005 × 14,202
  4. Step 4: Simplify right side
    32,670x = 695,969,010
  5. Step 5: Solve for x
    x = 695,969,010/32,670
  6. Step 6: Final answer
    x = 21,303

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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.