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Finding the Fourth Proportional to 35,097.69, 48,434.54 and 19,782.84

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Solution

The fourth proportional to 35,097.69, 48,434.54 and 19,782.84 is: 27,300.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,097.69 : 48,434.54 = 19,782.84 : x
  2. Step 2: Convert to fraction form
    35,097.69/48,434.54 = 19,782.84/x
  3. Step 3: Cross multiply
    35,097.69x = 48,434.54 × 19,782.84
  4. Step 4: Simplify right side
    35,097.69x = 958,172,656.38
  5. Step 5: Solve for x
    x = 958,172,656.38/35,097.69
  6. Step 6: Final answer
    x = 27,300.16

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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.