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Finding the Fourth Proportional to 32,724, 49,079.52 and 9,346.32

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Solution

The fourth proportional to 32,724, 49,079.52 and 9,346.32 is: 14,017.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,724 : 49,079.52 = 9,346.32 : x
  2. Step 2: Convert to fraction form
    32,724/49,079.52 = 9,346.32/x
  3. Step 3: Cross multiply
    32,724x = 49,079.52 × 9,346.32
  4. Step 4: Simplify right side
    32,724x = 458,712,899.37
  5. Step 5: Solve for x
    x = 458,712,899.37/32,724
  6. Step 6: Final answer
    x = 14,017.63

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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.