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Finding the Fourth Proportional to 46,224, 69,341.47 and 15,059.25

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Solution

The fourth proportional to 46,224, 69,341.47 and 15,059.25 is: 22,590.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,224 : 69,341.47 = 15,059.25 : x
  2. Step 2: Convert to fraction form
    46,224/69,341.47 = 15,059.25/x
  3. Step 3: Cross multiply
    46,224x = 69,341.47 × 15,059.25
  4. Step 4: Simplify right side
    46,224x = 1,044,230,494.45
  5. Step 5: Solve for x
    x = 1,044,230,494.45/46,224
  6. Step 6: Final answer
    x = 22,590.66

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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.