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Finding the Fourth Proportional to 53,210.84, 73,443.75 and 31,986

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Solution

The fourth proportional to 53,210.84, 73,443.75 and 31,986 is: 44,148.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,210.84 : 73,443.75 = 31,986 : x
  2. Step 2: Convert to fraction form
    53,210.84/73,443.75 = 31,986/x
  3. Step 3: Cross multiply
    53,210.84x = 73,443.75 × 31,986
  4. Step 4: Simplify right side
    53,210.84x = 2,349,171,787.50
  5. Step 5: Solve for x
    x = 2,349,171,787.50/53,210.84
  6. Step 6: Final answer
    x = 44,148.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.