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Finding the Fourth Proportional to 61,206.30, 91,804.05 and 16,829.10

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Solution

The fourth proportional to 61,206.30, 91,804.05 and 16,829.10 is: 25,242.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,206.30 : 91,804.05 = 16,829.10 : x
  2. Step 2: Convert to fraction form
    61,206.30/91,804.05 = 16,829.10/x
  3. Step 3: Cross multiply
    61,206.30x = 91,804.05 × 16,829.10
  4. Step 4: Simplify right side
    61,206.30x = 1,544,979,537.86
  5. Step 5: Solve for x
    x = 1,544,979,537.86/61,206.30
  6. Step 6: Final answer
    x = 25,242.17

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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.