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Finding the Fourth Proportional to 48,697.12, 67,210.26 and 28,276

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Solution

The fourth proportional to 48,697.12, 67,210.26 and 28,276 is: 39,025.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,697.12 : 67,210.26 = 28,276 : x
  2. Step 2: Convert to fraction form
    48,697.12/67,210.26 = 28,276/x
  3. Step 3: Cross multiply
    48,697.12x = 67,210.26 × 28,276
  4. Step 4: Simplify right side
    48,697.12x = 1,900,437,311.76
  5. Step 5: Solve for x
    x = 1,900,437,311.76/48,697.12
  6. Step 6: Final answer
    x = 39,025.66

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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.