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Finding the Fourth Proportional to 76,265.82, 105,298.92 and 47,596.68

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Solution

The fourth proportional to 76,265.82, 105,298.92 and 47,596.68 is: 65,715.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,265.82 : 105,298.92 = 47,596.68 : x
  2. Step 2: Convert to fraction form
    76,265.82/105,298.92 = 47,596.68/x
  3. Step 3: Cross multiply
    76,265.82x = 105,298.92 × 47,596.68
  4. Step 4: Simplify right side
    76,265.82x = 5,011,878,999.59
  5. Step 5: Solve for x
    x = 5,011,878,999.59/76,265.82
  6. Step 6: Final answer
    x = 65,715.93

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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.