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Finding the Fourth Proportional to 53,017.61, 73,165.32 and 29,146.50

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Solution

The fourth proportional to 53,017.61, 73,165.32 and 29,146.50 is: 40,222.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,017.61 : 73,165.32 = 29,146.50 : x
  2. Step 2: Convert to fraction form
    53,017.61/73,165.32 = 29,146.50/x
  3. Step 3: Cross multiply
    53,017.61x = 73,165.32 × 29,146.50
  4. Step 4: Simplify right side
    53,017.61x = 2,132,512,999.38
  5. Step 5: Solve for x
    x = 2,132,512,999.38/53,017.61
  6. Step 6: Final answer
    x = 40,222.73

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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.