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Finding the Fourth Proportional to 35,102, 48,440.36 and 19,186.40

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Solution

The fourth proportional to 35,102, 48,440.36 and 19,186.40 is: 26,477.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,102 : 48,440.36 = 19,186.40 : x
  2. Step 2: Convert to fraction form
    35,102/48,440.36 = 19,186.40/x
  3. Step 3: Cross multiply
    35,102x = 48,440.36 × 19,186.40
  4. Step 4: Simplify right side
    35,102x = 929,396,123.10
  5. Step 5: Solve for x
    x = 929,396,123.10/35,102
  6. Step 6: Final answer
    x = 26,477.01

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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.