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Finding the Fourth Proportional to 56,671.76, 78,223.50 and 37,808.84

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Solution

The fourth proportional to 56,671.76, 78,223.50 and 37,808.84 is: 52,187.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,671.76 : 78,223.50 = 37,808.84 : x
  2. Step 2: Convert to fraction form
    56,671.76/78,223.50 = 37,808.84/x
  3. Step 3: Cross multiply
    56,671.76x = 78,223.50 × 37,808.84
  4. Step 4: Simplify right side
    56,671.76x = 2,957,539,795.74
  5. Step 5: Solve for x
    x = 2,957,539,795.74/56,671.76
  6. Step 6: Final answer
    x = 52,187.19

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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.