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Finding the Fourth Proportional to 27,077.60, 40,594.80 and 11,482.40

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Solution

The fourth proportional to 27,077.60, 40,594.80 and 11,482.40 is: 17,214.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,077.60 : 40,594.80 = 11,482.40 : x
  2. Step 2: Convert to fraction form
    27,077.60/40,594.80 = 11,482.40/x
  3. Step 3: Cross multiply
    27,077.60x = 40,594.80 × 11,482.40
  4. Step 4: Simplify right side
    27,077.60x = 466,125,731.52
  5. Step 5: Solve for x
    x = 466,125,731.52/27,077.60
  6. Step 6: Final answer
    x = 17,214.44

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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.