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Finding the Fourth Proportional to 53,291.30, 73,541.92 and 29,417.92

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Solution

The fourth proportional to 53,291.30, 73,541.92 and 29,417.92 is: 40,596.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,291.30 : 73,541.92 = 29,417.92 : x
  2. Step 2: Convert to fraction form
    53,291.30/73,541.92 = 29,417.92/x
  3. Step 3: Cross multiply
    53,291.30x = 73,541.92 × 29,417.92
  4. Step 4: Simplify right side
    53,291.30x = 2,163,450,319.21
  5. Step 5: Solve for x
    x = 2,163,450,319.21/53,291.30
  6. Step 6: Final answer
    x = 40,596.69

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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.