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Finding the Fourth Proportional to 35,671.71, 49,226.91 and 19,756.16

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Solution

The fourth proportional to 35,671.71, 49,226.91 and 19,756.16 is: 27,263.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,671.71 : 49,226.91 = 19,756.16 : x
  2. Step 2: Convert to fraction form
    35,671.71/49,226.91 = 19,756.16/x
  3. Step 3: Cross multiply
    35,671.71x = 49,226.91 × 19,756.16
  4. Step 4: Simplify right side
    35,671.71x = 972,534,464.13
  5. Step 5: Solve for x
    x = 972,534,464.13/35,671.71
  6. Step 6: Final answer
    x = 27,263.47

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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.