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Finding the Fourth Proportional to 53,065.42, 73,228.74 and 29,192.08

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Solution

The fourth proportional to 53,065.42, 73,228.74 and 29,192.08 is: 40,284.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,065.42 : 73,228.74 = 29,192.08 : x
  2. Step 2: Convert to fraction form
    53,065.42/73,228.74 = 29,192.08/x
  3. Step 3: Cross multiply
    53,065.42x = 73,228.74 × 29,192.08
  4. Step 4: Simplify right side
    53,065.42x = 2,137,699,236.38
  5. Step 5: Solve for x
    x = 2,137,699,236.38/53,065.42
  6. Step 6: Final answer
    x = 40,284.22

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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.