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Finding the Fourth Proportional to 47,188, 70,792.95 and 16,023.25

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Solution

The fourth proportional to 47,188, 70,792.95 and 16,023.25 is: 24,038.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,188 : 70,792.95 = 16,023.25 : x
  2. Step 2: Convert to fraction form
    47,188/70,792.95 = 16,023.25/x
  3. Step 3: Cross multiply
    47,188x = 70,792.95 × 16,023.25
  4. Step 4: Simplify right side
    47,188x = 1,134,333,055.97
  5. Step 5: Solve for x
    x = 1,134,333,055.97/47,188
  6. Step 6: Final answer
    x = 24,038.59

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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.