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Finding the Fourth Proportional to 35,876.16, 49,509.77 and 19,962.09

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Solution

The fourth proportional to 35,876.16, 49,509.77 and 19,962.09 is: 27,548.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,876.16 : 49,509.77 = 19,962.09 : x
  2. Step 2: Convert to fraction form
    35,876.16/49,509.77 = 19,962.09/x
  3. Step 3: Cross multiply
    35,876.16x = 49,509.77 × 19,962.09
  4. Step 4: Simplify right side
    35,876.16x = 988,318,384.81
  5. Step 5: Solve for x
    x = 988,318,384.81/35,876.16
  6. Step 6: Final answer
    x = 27,548.05

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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.