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Finding the Fourth Proportional to 76,561.80, 105,657.44 and 46,352.58

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Solution

The fourth proportional to 76,561.80, 105,657.44 and 46,352.58 is: 63,967.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,561.80 : 105,657.44 = 46,352.58 : x
  2. Step 2: Convert to fraction form
    76,561.80/105,657.44 = 46,352.58/x
  3. Step 3: Cross multiply
    76,561.80x = 105,657.44 × 46,352.58
  4. Step 4: Simplify right side
    76,561.80x = 4,897,494,940.20
  5. Step 5: Solve for x
    x = 4,897,494,940.20/76,561.80
  6. Step 6: Final answer
    x = 63,967.87

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1.5x scale

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.