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Finding the Fourth Proportional to 64,182.96, 96,274.80 and 42,135.84

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Solution

The fourth proportional to 64,182.96, 96,274.80 and 42,135.84 is: 63,204.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,182.96 : 96,274.80 = 42,135.84 : x
  2. Step 2: Convert to fraction form
    64,182.96/96,274.80 = 42,135.84/x
  3. Step 3: Cross multiply
    64,182.96x = 96,274.80 × 42,135.84
  4. Step 4: Simplify right side
    64,182.96x = 4,056,619,568.83
  5. Step 5: Solve for x
    x = 4,056,619,568.83/64,182.96
  6. Step 6: Final answer
    x = 63,204.00

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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.