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Finding the Fourth Proportional to 30,298.50, 41,810.67 and 16,870.32

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Solution

The fourth proportional to 30,298.50, 41,810.67 and 16,870.32 is: 23,280.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,298.50 : 41,810.67 = 16,870.32 : x
  2. Step 2: Convert to fraction form
    30,298.50/41,810.67 = 16,870.32/x
  3. Step 3: Cross multiply
    30,298.50x = 41,810.67 × 16,870.32
  4. Step 4: Simplify right side
    30,298.50x = 705,359,382.31
  5. Step 5: Solve for x
    x = 705,359,382.31/30,298.50
  6. Step 6: Final answer
    x = 23,280.34

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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.