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Finding the Fourth Proportional to 30,802.08, 46,204.16 and 17,648.32

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Solution

The fourth proportional to 30,802.08, 46,204.16 and 17,648.32 is: 26,473.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,802.08 : 46,204.16 = 17,648.32 : x
  2. Step 2: Convert to fraction form
    30,802.08/46,204.16 = 17,648.32/x
  3. Step 3: Cross multiply
    30,802.08x = 46,204.16 × 17,648.32
  4. Step 4: Simplify right side
    30,802.08x = 815,425,801.01
  5. Step 5: Solve for x
    x = 815,425,801.01/30,802.08
  6. Step 6: Final answer
    x = 26,473.08

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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.