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Finding the Fourth Proportional to 32,430.96, 48,648.84 and 11,368.68

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Solution

The fourth proportional to 32,430.96, 48,648.84 and 11,368.68 is: 17,053.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,430.96 : 48,648.84 = 11,368.68 : x
  2. Step 2: Convert to fraction form
    32,430.96/48,648.84 = 11,368.68/x
  3. Step 3: Cross multiply
    32,430.96x = 48,648.84 × 11,368.68
  4. Step 4: Simplify right side
    32,430.96x = 553,073,094.33
  5. Step 5: Solve for x
    x = 553,073,094.33/32,430.96
  6. Step 6: Final answer
    x = 17,053.86

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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.