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Finding the Fourth Proportional to 48,549.13, 66,984.69 and 28,411

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Solution

The fourth proportional to 48,549.13, 66,984.69 and 28,411 is: 39,199.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,549.13 : 66,984.69 = 28,411 : x
  2. Step 2: Convert to fraction form
    48,549.13/66,984.69 = 28,411/x
  3. Step 3: Cross multiply
    48,549.13x = 66,984.69 × 28,411
  4. Step 4: Simplify right side
    48,549.13x = 1,903,102,027.59
  5. Step 5: Solve for x
    x = 1,903,102,027.59/48,549.13
  6. Step 6: Final answer
    x = 39,199.51

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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.