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Finding the Fourth Proportional to 95,913, 143,927.82 and 40,509

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Solution

The fourth proportional to 95,913, 143,927.82 and 40,509 is: 60,788.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,913 : 143,927.82 = 40,509 : x
  2. Step 2: Convert to fraction form
    95,913/143,927.82 = 40,509/x
  3. Step 3: Cross multiply
    95,913x = 143,927.82 × 40,509
  4. Step 4: Simplify right side
    95,913x = 5,830,372,060.38
  5. Step 5: Solve for x
    x = 5,830,372,060.38/95,913
  6. Step 6: Final answer
    x = 60,788.13

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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.