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Finding the Fourth Proportional to 66,240, 91,412.64 and 36,432

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Solution

The fourth proportional to 66,240, 91,412.64 and 36,432 is: 50,276.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,240 : 91,412.64 = 36,432 : x
  2. Step 2: Convert to fraction form
    66,240/91,412.64 = 36,432/x
  3. Step 3: Cross multiply
    66,240x = 91,412.64 × 36,432
  4. Step 4: Simplify right side
    66,240x = 3,330,345,300.48
  5. Step 5: Solve for x
    x = 3,330,345,300.48/66,240
  6. Step 6: Final answer
    x = 50,276.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.