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Finding the Fourth Proportional to 76,297.24, 105,289.98 and 46,489.24

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Solution

The fourth proportional to 76,297.24, 105,289.98 and 46,489.24 is: 64,155.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,297.24 : 105,289.98 = 46,489.24 : x
  2. Step 2: Convert to fraction form
    76,297.24/105,289.98 = 46,489.24/x
  3. Step 3: Cross multiply
    76,297.24x = 105,289.98 × 46,489.24
  4. Step 4: Simplify right side
    76,297.24x = 4,894,851,149.82
  5. Step 5: Solve for x
    x = 4,894,851,149.82/76,297.24
  6. Step 6: Final answer
    x = 64,155.02

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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.