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Finding the Fourth Proportional to 32,413, 48,627.71 and 9,039.44

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Solution

The fourth proportional to 32,413, 48,627.71 and 9,039.44 is: 13,561.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,413 : 48,627.71 = 9,039.44 : x
  2. Step 2: Convert to fraction form
    32,413/48,627.71 = 9,039.44/x
  3. Step 3: Cross multiply
    32,413x = 48,627.71 × 9,039.44
  4. Step 4: Simplify right side
    32,413x = 439,567,266.88
  5. Step 5: Solve for x
    x = 439,567,266.88/32,413
  6. Step 6: Final answer
    x = 13,561.45

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1.5x scale

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.