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Finding the Fourth Proportional to 59,235.51, 81,744.79 and 32,378

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Solution

The fourth proportional to 59,235.51, 81,744.79 and 32,378 is: 44,681.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,235.51 : 81,744.79 = 32,378 : x
  2. Step 2: Convert to fraction form
    59,235.51/81,744.79 = 32,378/x
  3. Step 3: Cross multiply
    59,235.51x = 81,744.79 × 32,378
  4. Step 4: Simplify right side
    59,235.51x = 2,646,732,810.62
  5. Step 5: Solve for x
    x = 2,646,732,810.62/59,235.51
  6. Step 6: Final answer
    x = 44,681.52

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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.