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Finding the Fourth Proportional to 47,641.04, 71,465.04 and 16,051.16

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Solution

The fourth proportional to 47,641.04, 71,465.04 and 16,051.16 is: 24,077.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,641.04 : 71,465.04 = 16,051.16 : x
  2. Step 2: Convert to fraction form
    47,641.04/71,465.04 = 16,051.16/x
  3. Step 3: Cross multiply
    47,641.04x = 71,465.04 × 16,051.16
  4. Step 4: Simplify right side
    47,641.04x = 1,147,096,791.45
  5. Step 5: Solve for x
    x = 1,147,096,791.45/47,641.04
  6. Step 6: Final answer
    x = 24,077.91

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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.