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Finding the Fourth Proportional to 32,427.60, 48,641.40 and 11,648.40

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Solution

The fourth proportional to 32,427.60, 48,641.40 and 11,648.40 is: 17,472.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,427.60 : 48,641.40 = 11,648.40 : x
  2. Step 2: Convert to fraction form
    32,427.60/48,641.40 = 11,648.40/x
  3. Step 3: Cross multiply
    32,427.60x = 48,641.40 × 11,648.40
  4. Step 4: Simplify right side
    32,427.60x = 566,594,483.76
  5. Step 5: Solve for x
    x = 566,594,483.76/32,427.60
  6. Step 6: Final answer
    x = 17,472.60

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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.