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Finding the Fourth Proportional to 47,097.76, 70,646.64 and 15,924.64

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Solution

The fourth proportional to 47,097.76, 70,646.64 and 15,924.64 is: 23,886.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,097.76 : 70,646.64 = 15,924.64 : x
  2. Step 2: Convert to fraction form
    47,097.76/70,646.64 = 15,924.64/x
  3. Step 3: Cross multiply
    47,097.76x = 70,646.64 × 15,924.64
  4. Step 4: Simplify right side
    47,097.76x = 1,125,022,309.21
  5. Step 5: Solve for x
    x = 1,125,022,309.21/47,097.76
  6. Step 6: Final answer
    x = 23,886.96

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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.