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Finding the Fourth Proportional to 30,641.40, 42,280.52 and 17,210.08

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Solution

The fourth proportional to 30,641.40, 42,280.52 and 17,210.08 is: 23,747.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,641.40 : 42,280.52 = 17,210.08 : x
  2. Step 2: Convert to fraction form
    30,641.40/42,280.52 = 17,210.08/x
  3. Step 3: Cross multiply
    30,641.40x = 42,280.52 × 17,210.08
  4. Step 4: Simplify right side
    30,641.40x = 727,650,920.24
  5. Step 5: Solve for x
    x = 727,650,920.24/30,641.40
  6. Step 6: Final answer
    x = 23,747.32

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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.