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Finding the Fourth Proportional to 46,456.51, 64,119.32 and 27,589.99

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Solution

The fourth proportional to 46,456.51, 64,119.32 and 27,589.99 is: 38,079.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,456.51 : 64,119.32 = 27,589.99 : x
  2. Step 2: Convert to fraction form
    46,456.51/64,119.32 = 27,589.99/x
  3. Step 3: Cross multiply
    46,456.51x = 64,119.32 × 27,589.99
  4. Step 4: Simplify right side
    46,456.51x = 1,769,051,397.61
  5. Step 5: Solve for x
    x = 1,769,051,397.61/46,456.51
  6. Step 6: Final answer
    x = 38,079.73

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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.