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Finding the Fourth Proportional to 72,971.64, 100,633.68 and 46,067.40

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Solution

The fourth proportional to 72,971.64, 100,633.68 and 46,067.40 is: 63,530.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,971.64 : 100,633.68 = 46,067.40 : x
  2. Step 2: Convert to fraction form
    72,971.64/100,633.68 = 46,067.40/x
  3. Step 3: Cross multiply
    72,971.64x = 100,633.68 × 46,067.40
  4. Step 4: Simplify right side
    72,971.64x = 4,635,931,990.03
  5. Step 5: Solve for x
    x = 4,635,931,990.03/72,971.64
  6. Step 6: Final answer
    x = 63,530.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.