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Finding the Fourth Proportional to 40,032.08, 60,033.72 and 13,730

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Solution

The fourth proportional to 40,032.08, 60,033.72 and 13,730 is: 20,590.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,032.08 : 60,033.72 = 13,730 : x
  2. Step 2: Convert to fraction form
    40,032.08/60,033.72 = 13,730/x
  3. Step 3: Cross multiply
    40,032.08x = 60,033.72 × 13,730
  4. Step 4: Simplify right side
    40,032.08x = 824,262,975.60
  5. Step 5: Solve for x
    x = 824,262,975.60/40,032.08
  6. Step 6: Final answer
    x = 20,590.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.