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Finding the Fourth Proportional to 56,706.76, 78,241.96 and 47,666.49

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Solution

The fourth proportional to 56,706.76, 78,241.96 and 47,666.49 is: 65,768.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,706.76 : 78,241.96 = 47,666.49 : x
  2. Step 2: Convert to fraction form
    56,706.76/78,241.96 = 47,666.49/x
  3. Step 3: Cross multiply
    56,706.76x = 78,241.96 × 47,666.49
  4. Step 4: Simplify right side
    56,706.76x = 3,729,519,603.92
  5. Step 5: Solve for x
    x = 3,729,519,603.92/56,706.76
  6. Step 6: Final answer
    x = 65,768.52

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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.