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Finding the Fourth Proportional to 77,232, 106,667.64 and 52,037.76

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Solution

The fourth proportional to 77,232, 106,667.64 and 52,037.76 is: 71,871.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,232 : 106,667.64 = 52,037.76 : x
  2. Step 2: Convert to fraction form
    77,232/106,667.64 = 52,037.76/x
  3. Step 3: Cross multiply
    77,232x = 106,667.64 × 52,037.76
  4. Step 4: Simplify right side
    77,232x = 5,550,745,050.09
  5. Step 5: Solve for x
    x = 5,550,745,050.09/77,232
  6. Step 6: Final answer
    x = 71,871.05

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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.