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Finding the Fourth Proportional to 47,006, 70,501.44 and 13,718.24

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Solution

The fourth proportional to 47,006, 70,501.44 and 13,718.24 is: 20,575.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,006 : 70,501.44 = 13,718.24 : x
  2. Step 2: Convert to fraction form
    47,006/70,501.44 = 13,718.24/x
  3. Step 3: Cross multiply
    47,006x = 70,501.44 × 13,718.24
  4. Step 4: Simplify right side
    47,006x = 967,155,674.27
  5. Step 5: Solve for x
    x = 967,155,674.27/47,006
  6. Step 6: Final answer
    x = 20,575.15

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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.