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Finding the Fourth Proportional to 32,420.34, 48,636.38 and 15,780.36

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Solution

The fourth proportional to 32,420.34, 48,636.38 and 15,780.36 is: 23,673.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,420.34 : 48,636.38 = 15,780.36 : x
  2. Step 2: Convert to fraction form
    32,420.34/48,636.38 = 15,780.36/x
  3. Step 3: Cross multiply
    32,420.34x = 48,636.38 × 15,780.36
  4. Step 4: Simplify right side
    32,420.34x = 767,499,585.50
  5. Step 5: Solve for x
    x = 767,499,585.50/32,420.34
  6. Step 6: Final answer
    x = 23,673.40

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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.