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Finding the Fourth Proportional to 159,530.64, 239,287.32 and 48,714

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Solution

The fourth proportional to 159,530.64, 239,287.32 and 48,714 is: 73,068.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,530.64 : 239,287.32 = 48,714 : x
  2. Step 2: Convert to fraction form
    159,530.64/239,287.32 = 48,714/x
  3. Step 3: Cross multiply
    159,530.64x = 239,287.32 × 48,714
  4. Step 4: Simplify right side
    159,530.64x = 11,656,642,506.48
  5. Step 5: Solve for x
    x = 11,656,642,506.48/159,530.64
  6. Step 6: Final answer
    x = 73,068.36

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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.