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Finding the Fourth Proportional to 69,816, 96,345.36 and 41,521.08

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Solution

The fourth proportional to 69,816, 96,345.36 and 41,521.08 is: 57,298.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,816 : 96,345.36 = 41,521.08 : x
  2. Step 2: Convert to fraction form
    69,816/96,345.36 = 41,521.08/x
  3. Step 3: Cross multiply
    69,816x = 96,345.36 × 41,521.08
  4. Step 4: Simplify right side
    69,816x = 4,000,363,400.19
  5. Step 5: Solve for x
    x = 4,000,363,400.19/69,816
  6. Step 6: Final answer
    x = 57,298.66

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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.