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Finding the Fourth Proportional to 101,406.36, 152,129.50 and 34,830.28

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Solution

The fourth proportional to 101,406.36, 152,129.50 and 34,830.28 is: 52,252.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,406.36 : 152,129.50 = 34,830.28 : x
  2. Step 2: Convert to fraction form
    101,406.36/152,129.50 = 34,830.28/x
  3. Step 3: Cross multiply
    101,406.36x = 152,129.50 × 34,830.28
  4. Step 4: Simplify right side
    101,406.36x = 5,298,713,081.26
  5. Step 5: Solve for x
    x = 5,298,713,081.26/101,406.36
  6. Step 6: Final answer
    x = 52,252.28

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