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Finding the Fourth Proportional to 32,575.50, 48,840.84 and 12,856.32

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Solution

The fourth proportional to 32,575.50, 48,840.84 and 12,856.32 is: 19,275.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,575.50 : 48,840.84 = 12,856.32 : x
  2. Step 2: Convert to fraction form
    32,575.50/48,840.84 = 12,856.32/x
  3. Step 3: Cross multiply
    32,575.50x = 48,840.84 × 12,856.32
  4. Step 4: Simplify right side
    32,575.50x = 627,913,468.11
  5. Step 5: Solve for x
    x = 627,913,468.11/32,575.50
  6. Step 6: Final answer
    x = 19,275.64

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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.