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Finding the Fourth Proportional to 95,641, 143,484.54 and 29,977

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Solution

The fourth proportional to 95,641, 143,484.54 and 29,977 is: 44,972.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,641 : 143,484.54 = 29,977 : x
  2. Step 2: Convert to fraction form
    95,641/143,484.54 = 29,977/x
  3. Step 3: Cross multiply
    95,641x = 143,484.54 × 29,977
  4. Step 4: Simplify right side
    95,641x = 4,301,236,055.58
  5. Step 5: Solve for x
    x = 4,301,236,055.58/95,641
  6. Step 6: Final answer
    x = 44,972.72

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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.