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Finding the Fourth Proportional to 90,753.64, 136,130.46 and 28,429

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Solution

The fourth proportional to 90,753.64, 136,130.46 and 28,429 is: 42,643.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,753.64 : 136,130.46 = 28,429 : x
  2. Step 2: Convert to fraction form
    90,753.64/136,130.46 = 28,429/x
  3. Step 3: Cross multiply
    90,753.64x = 136,130.46 × 28,429
  4. Step 4: Simplify right side
    90,753.64x = 3,870,052,847.34
  5. Step 5: Solve for x
    x = 3,870,052,847.34/90,753.64
  6. Step 6: Final answer
    x = 42,643.50

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Why These Related Problems?

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