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Finding the Fourth Proportional to 35,477.09, 53,221.11 and 12,098.06

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Solution

The fourth proportional to 35,477.09, 53,221.11 and 12,098.06 is: 18,148.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,477.09 : 53,221.11 = 12,098.06 : x
  2. Step 2: Convert to fraction form
    35,477.09/53,221.11 = 12,098.06/x
  3. Step 3: Cross multiply
    35,477.09x = 53,221.11 × 12,098.06
  4. Step 4: Simplify right side
    35,477.09x = 643,872,315.10
  5. Step 5: Solve for x
    x = 643,872,315.10/35,477.09
  6. Step 6: Final answer
    x = 18,148.96

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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.