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Finding the Fourth Proportional to 46,828.80, 70,218.90 and 17,231.40

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Solution

The fourth proportional to 46,828.80, 70,218.90 and 17,231.40 is: 25,838.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,828.80 : 70,218.90 = 17,231.40 : x
  2. Step 2: Convert to fraction form
    46,828.80/70,218.90 = 17,231.40/x
  3. Step 3: Cross multiply
    46,828.80x = 70,218.90 × 17,231.40
  4. Step 4: Simplify right side
    46,828.80x = 1,209,969,953.46
  5. Step 5: Solve for x
    x = 1,209,969,953.46/46,828.80
  6. Step 6: Final answer
    x = 25,838.16

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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.