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Finding the Fourth Proportional to 32,623, 45,019.74 and 17,719

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Solution

The fourth proportional to 32,623, 45,019.74 and 17,719 is: 24,452.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,623 : 45,019.74 = 17,719 : x
  2. Step 2: Convert to fraction form
    32,623/45,019.74 = 17,719/x
  3. Step 3: Cross multiply
    32,623x = 45,019.74 × 17,719
  4. Step 4: Simplify right side
    32,623x = 797,704,773.06
  5. Step 5: Solve for x
    x = 797,704,773.06/32,623
  6. Step 6: Final answer
    x = 24,452.22

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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.