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Finding the Fourth Proportional to 56,671.48, 78,207.06 and 35,462.80

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Solution

The fourth proportional to 56,671.48, 78,207.06 and 35,462.80 is: 48,938.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,671.48 : 78,207.06 = 35,462.80 : x
  2. Step 2: Convert to fraction form
    56,671.48/78,207.06 = 35,462.80/x
  3. Step 3: Cross multiply
    56,671.48x = 78,207.06 × 35,462.80
  4. Step 4: Simplify right side
    56,671.48x = 2,773,441,327.37
  5. Step 5: Solve for x
    x = 2,773,441,327.37/56,671.48
  6. Step 6: Final answer
    x = 48,938.93

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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.