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Finding the Fourth Proportional to 46,147, 69,225.36 and 21,182.80

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Solution

The fourth proportional to 46,147, 69,225.36 and 21,182.80 is: 31,776.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,147 : 69,225.36 = 21,182.80 : x
  2. Step 2: Convert to fraction form
    46,147/69,225.36 = 21,182.80/x
  3. Step 3: Cross multiply
    46,147x = 69,225.36 × 21,182.80
  4. Step 4: Simplify right side
    46,147x = 1,466,386,955.81
  5. Step 5: Solve for x
    x = 1,466,386,955.81/46,147
  6. Step 6: Final answer
    x = 31,776.43

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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.