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Finding the Fourth Proportional to 76,793.56, 105,975.63 and 42,804.24

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Solution

The fourth proportional to 76,793.56, 105,975.63 and 42,804.24 is: 59,070.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,793.56 : 105,975.63 = 42,804.24 : x
  2. Step 2: Convert to fraction form
    76,793.56/105,975.63 = 42,804.24/x
  3. Step 3: Cross multiply
    76,793.56x = 105,975.63 × 42,804.24
  4. Step 4: Simplify right side
    76,793.56x = 4,536,205,903.26
  5. Step 5: Solve for x
    x = 4,536,205,903.26/76,793.56
  6. Step 6: Final answer
    x = 59,070.14

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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.