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Finding the Fourth Proportional to 33,484, 46,210.08 and 18,580

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Solution

The fourth proportional to 33,484, 46,210.08 and 18,580 is: 25,641.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,484 : 46,210.08 = 18,580 : x
  2. Step 2: Convert to fraction form
    33,484/46,210.08 = 18,580/x
  3. Step 3: Cross multiply
    33,484x = 46,210.08 × 18,580
  4. Step 4: Simplify right side
    33,484x = 858,583,286.40
  5. Step 5: Solve for x
    x = 858,583,286.40/33,484
  6. Step 6: Final answer
    x = 25,641.60

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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.