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Finding the Fourth Proportional to 53,700.38, 74,109 and 29,827.16

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Solution

The fourth proportional to 53,700.38, 74,109 and 29,827.16 is: 41,162.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,700.38 : 74,109 = 29,827.16 : x
  2. Step 2: Convert to fraction form
    53,700.38/74,109 = 29,827.16/x
  3. Step 3: Cross multiply
    53,700.38x = 74,109 × 29,827.16
  4. Step 4: Simplify right side
    53,700.38x = 2,210,461,000.44
  5. Step 5: Solve for x
    x = 2,210,461,000.44/53,700.38
  6. Step 6: Final answer
    x = 41,162.86

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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.