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Finding the Fourth Proportional to 38,973.08, 53,784.06 and 22,205

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Solution

The fourth proportional to 38,973.08, 53,784.06 and 22,205 is: 30,643.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,973.08 : 53,784.06 = 22,205 : x
  2. Step 2: Convert to fraction form
    38,973.08/53,784.06 = 22,205/x
  3. Step 3: Cross multiply
    38,973.08x = 53,784.06 × 22,205
  4. Step 4: Simplify right side
    38,973.08x = 1,194,275,052.30
  5. Step 5: Solve for x
    x = 1,194,275,052.30/38,973.08
  6. Step 6: Final answer
    x = 30,643.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.