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Finding the Fourth Proportional to 35,686.14, 53,529.06 and 9,032.22

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Solution

The fourth proportional to 35,686.14, 53,529.06 and 9,032.22 is: 13,548.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,686.14 : 53,529.06 = 9,032.22 : x
  2. Step 2: Convert to fraction form
    35,686.14/53,529.06 = 9,032.22/x
  3. Step 3: Cross multiply
    35,686.14x = 53,529.06 × 9,032.22
  4. Step 4: Simplify right side
    35,686.14x = 483,486,246.31
  5. Step 5: Solve for x
    x = 483,486,246.31/35,686.14
  6. Step 6: Final answer
    x = 13,548.29

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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.