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Finding the Fourth Proportional to 52,671, 79,006.50 and 15,735

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Solution

The fourth proportional to 52,671, 79,006.50 and 15,735 is: 23,602.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,671 : 79,006.50 = 15,735 : x
  2. Step 2: Convert to fraction form
    52,671/79,006.50 = 15,735/x
  3. Step 3: Cross multiply
    52,671x = 79,006.50 × 15,735
  4. Step 4: Simplify right side
    52,671x = 1,243,167,277.50
  5. Step 5: Solve for x
    x = 1,243,167,277.50/52,671
  6. Step 6: Final answer
    x = 23,602.50

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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.