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Finding the Fourth Proportional to 46,808.29, 70,197.85 and 15,636.25

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Solution

The fourth proportional to 46,808.29, 70,197.85 and 15,636.25 is: 23,449.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,808.29 : 70,197.85 = 15,636.25 : x
  2. Step 2: Convert to fraction form
    46,808.29/70,197.85 = 15,636.25/x
  3. Step 3: Cross multiply
    46,808.29x = 70,197.85 × 15,636.25
  4. Step 4: Simplify right side
    46,808.29x = 1,097,631,132.06
  5. Step 5: Solve for x
    x = 1,097,631,132.06/46,808.29
  6. Step 6: Final answer
    x = 23,449.50

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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.