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Finding the Fourth Proportional to 29,477.56, 40,677.74 and 16,048.86

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Solution

The fourth proportional to 29,477.56, 40,677.74 and 16,048.86 is: 22,146.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,477.56 : 40,677.74 = 16,048.86 : x
  2. Step 2: Convert to fraction form
    29,477.56/40,677.74 = 16,048.86/x
  3. Step 3: Cross multiply
    29,477.56x = 40,677.74 × 16,048.86
  4. Step 4: Simplify right side
    29,477.56x = 652,831,354.38
  5. Step 5: Solve for x
    x = 652,831,354.38/29,477.56
  6. Step 6: Final answer
    x = 22,146.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.