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Finding the Fourth Proportional to 64,221.64, 96,322.74 and 17,478.16

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Solution

The fourth proportional to 64,221.64, 96,322.74 and 17,478.16 is: 26,214.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,221.64 : 96,322.74 = 17,478.16 : x
  2. Step 2: Convert to fraction form
    64,221.64/96,322.74 = 17,478.16/x
  3. Step 3: Cross multiply
    64,221.64x = 96,322.74 × 17,478.16
  4. Step 4: Simplify right side
    64,221.64x = 1,683,544,261.36
  5. Step 5: Solve for x
    x = 1,683,544,261.36/64,221.64
  6. Step 6: Final answer
    x = 26,214.59

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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.