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Finding the Fourth Proportional to 32,124.90, 48,159.63 and 15,462

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Solution

The fourth proportional to 32,124.90, 48,159.63 and 15,462 is: 23,179.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,124.90 : 48,159.63 = 15,462 : x
  2. Step 2: Convert to fraction form
    32,124.90/48,159.63 = 15,462/x
  3. Step 3: Cross multiply
    32,124.90x = 48,159.63 × 15,462
  4. Step 4: Simplify right side
    32,124.90x = 744,644,199.06
  5. Step 5: Solve for x
    x = 744,644,199.06/32,124.90
  6. Step 6: Final answer
    x = 23,179.66

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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.