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Finding the Fourth Proportional to 55,846.58, 77,068.53 and 30,697.70

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Solution

The fourth proportional to 55,846.58, 77,068.53 and 30,697.70 is: 42,362.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,846.58 : 77,068.53 = 30,697.70 : x
  2. Step 2: Convert to fraction form
    55,846.58/77,068.53 = 30,697.70/x
  3. Step 3: Cross multiply
    55,846.58x = 77,068.53 × 30,697.70
  4. Step 4: Simplify right side
    55,846.58x = 2,365,826,613.38
  5. Step 5: Solve for x
    x = 2,365,826,613.38/55,846.58
  6. Step 6: Final answer
    x = 42,362.96

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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.