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Finding the Fourth Proportional to 46,877.01, 70,321.32 and 17,295

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Solution

The fourth proportional to 46,877.01, 70,321.32 and 17,295 is: 25,944.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,877.01 : 70,321.32 = 17,295 : x
  2. Step 2: Convert to fraction form
    46,877.01/70,321.32 = 17,295/x
  3. Step 3: Cross multiply
    46,877.01x = 70,321.32 × 17,295
  4. Step 4: Simplify right side
    46,877.01x = 1,216,207,229.40
  5. Step 5: Solve for x
    x = 1,216,207,229.40/46,877.01
  6. Step 6: Final answer
    x = 25,944.64

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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.