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Finding the Fourth Proportional to 46,821.30, 70,199.13 and 17,235.30

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Solution

The fourth proportional to 46,821.30, 70,199.13 and 17,235.30 is: 25,840.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,821.30 : 70,199.13 = 17,235.30 : x
  2. Step 2: Convert to fraction form
    46,821.30/70,199.13 = 17,235.30/x
  3. Step 3: Cross multiply
    46,821.30x = 70,199.13 × 17,235.30
  4. Step 4: Simplify right side
    46,821.30x = 1,209,903,065.29
  5. Step 5: Solve for x
    x = 1,209,903,065.29/46,821.30
  6. Step 6: Final answer
    x = 25,840.87

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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.