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Finding the Fourth Proportional to 32,702, 49,053.47 and 9,328.45

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Solution

The fourth proportional to 32,702, 49,053.47 and 9,328.45 is: 13,992.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,702 : 49,053.47 = 9,328.45 : x
  2. Step 2: Convert to fraction form
    32,702/49,053.47 = 9,328.45/x
  3. Step 3: Cross multiply
    32,702x = 49,053.47 × 9,328.45
  4. Step 4: Simplify right side
    32,702x = 457,592,842.22
  5. Step 5: Solve for x
    x = 457,592,842.22/32,702
  6. Step 6: Final answer
    x = 13,992.81

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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.