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Finding the Fourth Proportional to 32,897, 45,398.50 and 17,993.32

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Solution

The fourth proportional to 32,897, 45,398.50 and 17,993.32 is: 24,831.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,897 : 45,398.50 = 17,993.32 : x
  2. Step 2: Convert to fraction form
    32,897/45,398.50 = 17,993.32/x
  3. Step 3: Cross multiply
    32,897x = 45,398.50 × 17,993.32
  4. Step 4: Simplify right side
    32,897x = 816,869,738.02
  5. Step 5: Solve for x
    x = 816,869,738.02/32,897
  6. Step 6: Final answer
    x = 24,831.13

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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.