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Finding the Fourth Proportional to 76,260, 105,238.80 and 46,452

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Solution

The fourth proportional to 76,260, 105,238.80 and 46,452 is: 64,103.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,260 : 105,238.80 = 46,452 : x
  2. Step 2: Convert to fraction form
    76,260/105,238.80 = 46,452/x
  3. Step 3: Cross multiply
    76,260x = 105,238.80 × 46,452
  4. Step 4: Simplify right side
    76,260x = 4,888,552,737.60
  5. Step 5: Solve for x
    x = 4,888,552,737.60/76,260
  6. Step 6: Final answer
    x = 64,103.76

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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.