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Finding the Fourth Proportional to 32,657.76, 48,978.64 and 8,965.46

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Solution

The fourth proportional to 32,657.76, 48,978.64 and 8,965.46 is: 13,445.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,657.76 : 48,978.64 = 8,965.46 : x
  2. Step 2: Convert to fraction form
    32,657.76/48,978.64 = 8,965.46/x
  3. Step 3: Cross multiply
    32,657.76x = 48,978.64 × 8,965.46
  4. Step 4: Simplify right side
    32,657.76x = 439,116,037.77
  5. Step 5: Solve for x
    x = 439,116,037.77/32,657.76
  6. Step 6: Final answer
    x = 13,445.99

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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.