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Finding the Fourth Proportional to 46,661.58, 70,004.71 and 24,469

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Solution

The fourth proportional to 46,661.58, 70,004.71 and 24,469 is: 36,709.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,661.58 : 70,004.71 = 24,469 : x
  2. Step 2: Convert to fraction form
    46,661.58/70,004.71 = 24,469/x
  3. Step 3: Cross multiply
    46,661.58x = 70,004.71 × 24,469
  4. Step 4: Simplify right side
    46,661.58x = 1,712,945,248.99
  5. Step 5: Solve for x
    x = 1,712,945,248.99/46,661.58
  6. Step 6: Final answer
    x = 36,709.97

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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.