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Finding the Fourth Proportional to 32,637.40, 48,957.96 and 9,262

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Solution

The fourth proportional to 32,637.40, 48,957.96 and 9,262 is: 13,893.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,637.40 : 48,957.96 = 9,262 : x
  2. Step 2: Convert to fraction form
    32,637.40/48,957.96 = 9,262/x
  3. Step 3: Cross multiply
    32,637.40x = 48,957.96 × 9,262
  4. Step 4: Simplify right side
    32,637.40x = 453,448,625.52
  5. Step 5: Solve for x
    x = 453,448,625.52/32,637.40
  6. Step 6: Final answer
    x = 13,893.53

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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.