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Finding the Fourth Proportional to 31,570.36, 47,345.76 and 10,789

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Solution

The fourth proportional to 31,570.36, 47,345.76 and 10,789 is: 16,180.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,570.36 : 47,345.76 = 10,789 : x
  2. Step 2: Convert to fraction form
    31,570.36/47,345.76 = 10,789/x
  3. Step 3: Cross multiply
    31,570.36x = 47,345.76 × 10,789
  4. Step 4: Simplify right side
    31,570.36x = 510,813,404.64
  5. Step 5: Solve for x
    x = 510,813,404.64/31,570.36
  6. Step 6: Final answer
    x = 16,180.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.