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Finding the Fourth Proportional to 101,406.24, 152,127.54 and 34,829.10

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Solution

The fourth proportional to 101,406.24, 152,127.54 and 34,829.10 is: 52,249.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,406.24 : 152,127.54 = 34,829.10 : x
  2. Step 2: Convert to fraction form
    101,406.24/152,127.54 = 34,829.10/x
  3. Step 3: Cross multiply
    101,406.24x = 152,127.54 × 34,829.10
  4. Step 4: Simplify right side
    101,406.24x = 5,298,465,303.41
  5. Step 5: Solve for x
    x = 5,298,465,303.41/101,406.24
  6. Step 6: Final answer
    x = 52,249.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.