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Finding the Fourth Proportional to 32,412.95, 48,615.88 and 10,214.22

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Solution

The fourth proportional to 32,412.95, 48,615.88 and 10,214.22 is: 15,320.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,412.95 : 48,615.88 = 10,214.22 : x
  2. Step 2: Convert to fraction form
    32,412.95/48,615.88 = 10,214.22/x
  3. Step 3: Cross multiply
    32,412.95x = 48,615.88 × 10,214.22
  4. Step 4: Simplify right side
    32,412.95x = 496,573,293.81
  5. Step 5: Solve for x
    x = 496,573,293.81/32,412.95
  6. Step 6: Final answer
    x = 15,320.21

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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.