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Finding the Fourth Proportional to 174,965, 262,447.50 and 43,637

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Solution

The fourth proportional to 174,965, 262,447.50 and 43,637 is: 65,455.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,965 : 262,447.50 = 43,637 : x
  2. Step 2: Convert to fraction form
    174,965/262,447.50 = 43,637/x
  3. Step 3: Cross multiply
    174,965x = 262,447.50 × 43,637
  4. Step 4: Simplify right side
    174,965x = 11,452,421,557.50
  5. Step 5: Solve for x
    x = 11,452,421,557.50/174,965
  6. Step 6: Final answer
    x = 65,455.50

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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.