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Finding the Fourth Proportional to 35,666.82, 49,223.04 and 19,752.78

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Solution

The fourth proportional to 35,666.82, 49,223.04 and 19,752.78 is: 27,260.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,666.82 : 49,223.04 = 19,752.78 : x
  2. Step 2: Convert to fraction form
    35,666.82/49,223.04 = 19,752.78/x
  3. Step 3: Cross multiply
    35,666.82x = 49,223.04 × 19,752.78
  4. Step 4: Simplify right side
    35,666.82x = 972,291,880.05
  5. Step 5: Solve for x
    x = 972,291,880.05/35,666.82
  6. Step 6: Final answer
    x = 27,260.40

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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.