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Finding the Fourth Proportional to 76,236.75, 105,206.76 and 46,428.75

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Solution

The fourth proportional to 76,236.75, 105,206.76 and 46,428.75 is: 64,071.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,236.75 : 105,206.76 = 46,428.75 : x
  2. Step 2: Convert to fraction form
    76,236.75/105,206.76 = 46,428.75/x
  3. Step 3: Cross multiply
    76,236.75x = 105,206.76 × 46,428.75
  4. Step 4: Simplify right side
    76,236.75x = 4,884,618,358.35
  5. Step 5: Solve for x
    x = 4,884,618,358.35/76,236.75
  6. Step 6: Final answer
    x = 64,071.70

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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.