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Finding the Fourth Proportional to 46,564.74, 69,875.15 and 16,985.16

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Solution

The fourth proportional to 46,564.74, 69,875.15 and 16,985.16 is: 25,487.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,564.74 : 69,875.15 = 16,985.16 : x
  2. Step 2: Convert to fraction form
    46,564.74/69,875.15 = 16,985.16/x
  3. Step 3: Cross multiply
    46,564.74x = 69,875.15 × 16,985.16
  4. Step 4: Simplify right side
    46,564.74x = 1,186,840,517.85
  5. Step 5: Solve for x
    x = 1,186,840,517.85/46,564.74
  6. Step 6: Final answer
    x = 25,487.97

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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.