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Finding the Fourth Proportional to 56,671.96, 85,006.98 and 19,735

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Solution

The fourth proportional to 56,671.96, 85,006.98 and 19,735 is: 29,602.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,671.96 : 85,006.98 = 19,735 : x
  2. Step 2: Convert to fraction form
    56,671.96/85,006.98 = 19,735/x
  3. Step 3: Cross multiply
    56,671.96x = 85,006.98 × 19,735
  4. Step 4: Simplify right side
    56,671.96x = 1,677,612,750.30
  5. Step 5: Solve for x
    x = 1,677,612,750.30/56,671.96
  6. Step 6: Final answer
    x = 29,602.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.