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Finding the Fourth Proportional to 30,984.04, 46,479.90 and 10,214.76

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Solution

The fourth proportional to 30,984.04, 46,479.90 and 10,214.76 is: 15,323.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,984.04 : 46,479.90 = 10,214.76 : x
  2. Step 2: Convert to fraction form
    30,984.04/46,479.90 = 10,214.76/x
  3. Step 3: Cross multiply
    30,984.04x = 46,479.90 × 10,214.76
  4. Step 4: Simplify right side
    30,984.04x = 474,781,023.32
  5. Step 5: Solve for x
    x = 474,781,023.32/30,984.04
  6. Step 6: Final answer
    x = 15,323.41

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1.5x scale

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.