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Finding the Fourth Proportional to 32,419.20, 48,628.80 and 19,264.80

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Solution

The fourth proportional to 32,419.20, 48,628.80 and 19,264.80 is: 28,897.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,419.20 : 48,628.80 = 19,264.80 : x
  2. Step 2: Convert to fraction form
    32,419.20/48,628.80 = 19,264.80/x
  3. Step 3: Cross multiply
    32,419.20x = 48,628.80 × 19,264.80
  4. Step 4: Simplify right side
    32,419.20x = 936,824,106.24
  5. Step 5: Solve for x
    x = 936,824,106.24/32,419.20
  6. Step 6: Final answer
    x = 28,897.20

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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.