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Finding the Fourth Proportional to 64,545.14, 89,022.98 and 46,699.22

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Solution

The fourth proportional to 64,545.14, 89,022.98 and 46,699.22 is: 64,409.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,545.14 : 89,022.98 = 46,699.22 : x
  2. Step 2: Convert to fraction form
    64,545.14/89,022.98 = 46,699.22/x
  3. Step 3: Cross multiply
    64,545.14x = 89,022.98 × 46,699.22
  4. Step 4: Simplify right side
    64,545.14x = 4,157,304,067.38
  5. Step 5: Solve for x
    x = 4,157,304,067.38/64,545.14
  6. Step 6: Final answer
    x = 64,409.25

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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.