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Finding the Fourth Proportional to 32,303.46, 48,468.96 and 12,595.88

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Solution

The fourth proportional to 32,303.46, 48,468.96 and 12,595.88 is: 18,899.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,303.46 : 48,468.96 = 12,595.88 : x
  2. Step 2: Convert to fraction form
    32,303.46/48,468.96 = 12,595.88/x
  3. Step 3: Cross multiply
    32,303.46x = 48,468.96 × 12,595.88
  4. Step 4: Simplify right side
    32,303.46x = 610,509,203.88
  5. Step 5: Solve for x
    x = 610,509,203.88/32,303.46
  6. Step 6: Final answer
    x = 18,899.19

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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.