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Finding the Fourth Proportional to 39,852.08, 59,779.16 and 12,150

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Solution

The fourth proportional to 39,852.08, 59,779.16 and 12,150 is: 18,225.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,852.08 : 59,779.16 = 12,150 : x
  2. Step 2: Convert to fraction form
    39,852.08/59,779.16 = 12,150/x
  3. Step 3: Cross multiply
    39,852.08x = 59,779.16 × 12,150
  4. Step 4: Simplify right side
    39,852.08x = 726,316,794
  5. Step 5: Solve for x
    x = 726,316,794/39,852.08
  6. Step 6: Final answer
    x = 18,225.32

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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.