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Finding the Fourth Proportional to 103,648.64, 155,482.68 and 41,324

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Solution

The fourth proportional to 103,648.64, 155,482.68 and 41,324 is: 61,989.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,648.64 : 155,482.68 = 41,324 : x
  2. Step 2: Convert to fraction form
    103,648.64/155,482.68 = 41,324/x
  3. Step 3: Cross multiply
    103,648.64x = 155,482.68 × 41,324
  4. Step 4: Simplify right side
    103,648.64x = 6,425,166,268.32
  5. Step 5: Solve for x
    x = 6,425,166,268.32/103,648.64
  6. Step 6: Final answer
    x = 61,989.88

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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.