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Finding the Fourth Proportional to 32,646.70, 48,970.05 and 16,009.30

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Solution

The fourth proportional to 32,646.70, 48,970.05 and 16,009.30 is: 24,013.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,646.70 : 48,970.05 = 16,009.30 : x
  2. Step 2: Convert to fraction form
    32,646.70/48,970.05 = 16,009.30/x
  3. Step 3: Cross multiply
    32,646.70x = 48,970.05 × 16,009.30
  4. Step 4: Simplify right side
    32,646.70x = 783,976,221.47
  5. Step 5: Solve for x
    x = 783,976,221.47/32,646.70
  6. Step 6: Final answer
    x = 24,013.95

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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.