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Finding the Fourth Proportional to 36,547.14, 50,435.04 and 19,780.14

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Solution

The fourth proportional to 36,547.14, 50,435.04 and 19,780.14 is: 27,296.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,547.14 : 50,435.04 = 19,780.14 : x
  2. Step 2: Convert to fraction form
    36,547.14/50,435.04 = 19,780.14/x
  3. Step 3: Cross multiply
    36,547.14x = 50,435.04 × 19,780.14
  4. Step 4: Simplify right side
    36,547.14x = 997,612,152.11
  5. Step 5: Solve for x
    x = 997,612,152.11/36,547.14
  6. Step 6: Final answer
    x = 27,296.59

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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.