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Finding the Fourth Proportional to 64,214.64, 96,297.36 and 25,734.24

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Solution

The fourth proportional to 64,214.64, 96,297.36 and 25,734.24 is: 38,591.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,214.64 : 96,297.36 = 25,734.24 : x
  2. Step 2: Convert to fraction form
    64,214.64/96,297.36 = 25,734.24/x
  3. Step 3: Cross multiply
    64,214.64x = 96,297.36 × 25,734.24
  4. Step 4: Simplify right side
    64,214.64x = 2,478,139,373.61
  5. Step 5: Solve for x
    x = 2,478,139,373.61/64,214.64
  6. Step 6: Final answer
    x = 38,591.50

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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.