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Finding the Fourth Proportional to 75,924.16, 104,772 and 42,389.44

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Solution

The fourth proportional to 75,924.16, 104,772 and 42,389.44 is: 58,495.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,924.16 : 104,772 = 42,389.44 : x
  2. Step 2: Convert to fraction form
    75,924.16/104,772 = 42,389.44/x
  3. Step 3: Cross multiply
    75,924.16x = 104,772 × 42,389.44
  4. Step 4: Simplify right side
    75,924.16x = 4,441,226,407.68
  5. Step 5: Solve for x
    x = 4,441,226,407.68/75,924.16
  6. Step 6: Final answer
    x = 58,495.56

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1.5x scale

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.