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Finding the Fourth Proportional to 35,756.94, 49,345.38 and 19,841.16

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Solution

The fourth proportional to 35,756.94, 49,345.38 and 19,841.16 is: 27,381.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,756.94 : 49,345.38 = 19,841.16 : x
  2. Step 2: Convert to fraction form
    35,756.94/49,345.38 = 19,841.16/x
  3. Step 3: Cross multiply
    35,756.94x = 49,345.38 × 19,841.16
  4. Step 4: Simplify right side
    35,756.94x = 979,069,579.84
  5. Step 5: Solve for x
    x = 979,069,579.84/35,756.94
  6. Step 6: Final answer
    x = 27,381.25

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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.