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Finding the Fourth Proportional to 76,263.49, 105,208.01 and 47,984.77

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Solution

The fourth proportional to 76,263.49, 105,208.01 and 47,984.77 is: 66,196.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,263.49 : 105,208.01 = 47,984.77 : x
  2. Step 2: Convert to fraction form
    76,263.49/105,208.01 = 47,984.77/x
  3. Step 3: Cross multiply
    76,263.49x = 105,208.01 × 47,984.77
  4. Step 4: Simplify right side
    76,263.49x = 5,048,381,635.97
  5. Step 5: Solve for x
    x = 5,048,381,635.97/76,263.49
  6. Step 6: Final answer
    x = 66,196.58

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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.