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Finding the Fourth Proportional to 97,651.31, 146,476.53 and 41,482.80

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Solution

The fourth proportional to 97,651.31, 146,476.53 and 41,482.80 is: 62,224.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,651.31 : 146,476.53 = 41,482.80 : x
  2. Step 2: Convert to fraction form
    97,651.31/146,476.53 = 41,482.80/x
  3. Step 3: Cross multiply
    97,651.31x = 146,476.53 × 41,482.80
  4. Step 4: Simplify right side
    97,651.31x = 6,076,256,598.68
  5. Step 5: Solve for x
    x = 6,076,256,598.68/97,651.31
  6. Step 6: Final answer
    x = 62,224.02

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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.