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Finding the Fourth Proportional to 78,536.64, 108,372.46 and 46,699.38

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Solution

The fourth proportional to 78,536.64, 108,372.46 and 46,699.38 is: 64,440.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,536.64 : 108,372.46 = 46,699.38 : x
  2. Step 2: Convert to fraction form
    78,536.64/108,372.46 = 46,699.38/x
  3. Step 3: Cross multiply
    78,536.64x = 108,372.46 × 46,699.38
  4. Step 4: Simplify right side
    78,536.64x = 5,060,926,691.07
  5. Step 5: Solve for x
    x = 5,060,926,691.07/78,536.64
  6. Step 6: Final answer
    x = 64,440.33

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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.