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Finding the Fourth Proportional to 55,017, 75,924.38 and 29,866.50

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Solution

The fourth proportional to 55,017, 75,924.38 and 29,866.50 is: 41,216.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,017 : 75,924.38 = 29,866.50 : x
  2. Step 2: Convert to fraction form
    55,017/75,924.38 = 29,866.50/x
  3. Step 3: Cross multiply
    55,017x = 75,924.38 × 29,866.50
  4. Step 4: Simplify right side
    55,017x = 2,267,595,345.94
  5. Step 5: Solve for x
    x = 2,267,595,345.94/55,017
  6. Step 6: Final answer
    x = 41,216.27

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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.