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Finding the Fourth Proportional to 46,292, 69,423.60 and 16,705.96

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Solution

The fourth proportional to 46,292, 69,423.60 and 16,705.96 is: 25,053.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,292 : 69,423.60 = 16,705.96 : x
  2. Step 2: Convert to fraction form
    46,292/69,423.60 = 16,705.96/x
  3. Step 3: Cross multiply
    46,292x = 69,423.60 × 16,705.96
  4. Step 4: Simplify right side
    46,292x = 1,159,787,884.66
  5. Step 5: Solve for x
    x = 1,159,787,884.66/46,292
  6. Step 6: Final answer
    x = 25,053.74

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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.