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Finding the Fourth Proportional to 66,276, 91,461.60 and 36,468

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Solution

The fourth proportional to 66,276, 91,461.60 and 36,468 is: 50,326.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,276 : 91,461.60 = 36,468 : x
  2. Step 2: Convert to fraction form
    66,276/91,461.60 = 36,468/x
  3. Step 3: Cross multiply
    66,276x = 91,461.60 × 36,468
  4. Step 4: Simplify right side
    66,276x = 3,335,421,628.80
  5. Step 5: Solve for x
    x = 3,335,421,628.80/66,276
  6. Step 6: Final answer
    x = 50,326.24

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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.