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Finding the Fourth Proportional to 48,533, 66,973.90 and 27,311

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Solution

The fourth proportional to 48,533, 66,973.90 and 27,311 is: 37,688.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,533 : 66,973.90 = 27,311 : x
  2. Step 2: Convert to fraction form
    48,533/66,973.90 = 27,311/x
  3. Step 3: Cross multiply
    48,533x = 66,973.90 × 27,311
  4. Step 4: Simplify right side
    48,533x = 1,829,124,182.90
  5. Step 5: Solve for x
    x = 1,829,124,182.90/48,533
  6. Step 6: Final answer
    x = 37,688.26

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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.