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Finding the Fourth Proportional to 32,303.67, 48,392.31 and 21,176.40

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Solution

The fourth proportional to 32,303.67, 48,392.31 and 21,176.40 is: 31,723.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,303.67 : 48,392.31 = 21,176.40 : x
  2. Step 2: Convert to fraction form
    32,303.67/48,392.31 = 21,176.40/x
  3. Step 3: Cross multiply
    32,303.67x = 48,392.31 × 21,176.40
  4. Step 4: Simplify right side
    32,303.67x = 1,024,774,913.48
  5. Step 5: Solve for x
    x = 1,024,774,913.48/32,303.67
  6. Step 6: Final answer
    x = 31,723.17

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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.