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Finding the Fourth Proportional to 32,937.92, 49,406.94 and 15,420.05

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Solution

The fourth proportional to 32,937.92, 49,406.94 and 15,420.05 is: 23,130.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,937.92 : 49,406.94 = 15,420.05 : x
  2. Step 2: Convert to fraction form
    32,937.92/49,406.94 = 15,420.05/x
  3. Step 3: Cross multiply
    32,937.92x = 49,406.94 × 15,420.05
  4. Step 4: Simplify right side
    32,937.92x = 761,857,238.11
  5. Step 5: Solve for x
    x = 761,857,238.11/32,937.92
  6. Step 6: Final answer
    x = 23,130.10

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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.