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Finding the Fourth Proportional to 47,007.44, 70,509.99 and 11,469

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Solution

The fourth proportional to 47,007.44, 70,509.99 and 11,469 is: 17,203.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,007.44 : 70,509.99 = 11,469 : x
  2. Step 2: Convert to fraction form
    47,007.44/70,509.99 = 11,469/x
  3. Step 3: Cross multiply
    47,007.44x = 70,509.99 × 11,469
  4. Step 4: Simplify right side
    47,007.44x = 808,679,075.31
  5. Step 5: Solve for x
    x = 808,679,075.31/47,007.44
  6. Step 6: Final answer
    x = 17,203.22

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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.