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Finding the Fourth Proportional to 35,858.12, 53,802.66 and 13,678.16

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Solution

The fourth proportional to 35,858.12, 53,802.66 and 13,678.16 is: 20,523.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,858.12 : 53,802.66 = 13,678.16 : x
  2. Step 2: Convert to fraction form
    35,858.12/53,802.66 = 13,678.16/x
  3. Step 3: Cross multiply
    35,858.12x = 53,802.66 × 13,678.16
  4. Step 4: Simplify right side
    35,858.12x = 735,921,391.91
  5. Step 5: Solve for x
    x = 735,921,391.91/35,858.12
  6. Step 6: Final answer
    x = 20,523.14

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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.