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Finding the Fourth Proportional to 73,478.58, 101,359.65 and 47,948.82

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Solution

The fourth proportional to 73,478.58, 101,359.65 and 47,948.82 is: 66,142.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,478.58 : 101,359.65 = 47,948.82 : x
  2. Step 2: Convert to fraction form
    73,478.58/101,359.65 = 47,948.82/x
  3. Step 3: Cross multiply
    73,478.58x = 101,359.65 × 47,948.82
  4. Step 4: Simplify right side
    73,478.58x = 4,860,075,613.11
  5. Step 5: Solve for x
    x = 4,860,075,613.11/73,478.58
  6. Step 6: Final answer
    x = 66,142.75

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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.