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Finding the Fourth Proportional to 46,785, 70,189.66 and 13,953

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Solution

The fourth proportional to 46,785, 70,189.66 and 13,953 is: 20,933.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,785 : 70,189.66 = 13,953 : x
  2. Step 2: Convert to fraction form
    46,785/70,189.66 = 13,953/x
  3. Step 3: Cross multiply
    46,785x = 70,189.66 × 13,953
  4. Step 4: Simplify right side
    46,785x = 979,356,325.98
  5. Step 5: Solve for x
    x = 979,356,325.98/46,785
  6. Step 6: Final answer
    x = 20,933.13

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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.