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Finding the Fourth Proportional to 65,251.50, 97,877.28 and 28,315.50

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Solution

The fourth proportional to 65,251.50, 97,877.28 and 28,315.50 is: 42,473.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,251.50 : 97,877.28 = 28,315.50 : x
  2. Step 2: Convert to fraction form
    65,251.50/97,877.28 = 28,315.50/x
  3. Step 3: Cross multiply
    65,251.50x = 97,877.28 × 28,315.50
  4. Step 4: Simplify right side
    65,251.50x = 2,771,444,121.84
  5. Step 5: Solve for x
    x = 2,771,444,121.84/65,251.50
  6. Step 6: Final answer
    x = 42,473.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.