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Finding the Fourth Proportional to 76,538.94, 105,724.11 and 52,624.14

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Solution

The fourth proportional to 76,538.94, 105,724.11 and 52,624.14 is: 72,690.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,538.94 : 105,724.11 = 52,624.14 : x
  2. Step 2: Convert to fraction form
    76,538.94/105,724.11 = 52,624.14/x
  3. Step 3: Cross multiply
    76,538.94x = 105,724.11 × 52,624.14
  4. Step 4: Simplify right side
    76,538.94x = 5,563,640,366.02
  5. Step 5: Solve for x
    x = 5,563,640,366.02/76,538.94
  6. Step 6: Final answer
    x = 72,690.32

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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.