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Finding the Fourth Proportional to 78,649.63, 108,536.64 and 42,839.53

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Solution

The fourth proportional to 78,649.63, 108,536.64 and 42,839.53 is: 59,118.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,649.63 : 108,536.64 = 42,839.53 : x
  2. Step 2: Convert to fraction form
    78,649.63/108,536.64 = 42,839.53/x
  3. Step 3: Cross multiply
    78,649.63x = 108,536.64 × 42,839.53
  4. Step 4: Simplify right side
    78,649.63x = 4,649,658,645.38
  5. Step 5: Solve for x
    x = 4,649,658,645.38/78,649.63
  6. Step 6: Final answer
    x = 59,118.63

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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.