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Finding the Fourth Proportional to 76,216, 105,180.24 and 42,684.16

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Solution

The fourth proportional to 76,216, 105,180.24 and 42,684.16 is: 58,905.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,216 : 105,180.24 = 42,684.16 : x
  2. Step 2: Convert to fraction form
    76,216/105,180.24 = 42,684.16/x
  3. Step 3: Cross multiply
    76,216x = 105,180.24 × 42,684.16
  4. Step 4: Simplify right side
    76,216x = 4,489,530,193.00
  5. Step 5: Solve for x
    x = 4,489,530,193.00/76,216
  6. Step 6: Final answer
    x = 58,905.35

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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.