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Finding the Fourth Proportional to 32,048.48, 48,036 and 12,316.88

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Solution

The fourth proportional to 32,048.48, 48,036 and 12,316.88 is: 18,461.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,048.48 : 48,036 = 12,316.88 : x
  2. Step 2: Convert to fraction form
    32,048.48/48,036 = 12,316.88/x
  3. Step 3: Cross multiply
    32,048.48x = 48,036 × 12,316.88
  4. Step 4: Simplify right side
    32,048.48x = 591,653,647.68
  5. Step 5: Solve for x
    x = 591,653,647.68/32,048.48
  6. Step 6: Final answer
    x = 18,461.21

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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.