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Finding the Fourth Proportional to 35,733.38, 53,602.34 and 12,038.99

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Solution

The fourth proportional to 35,733.38, 53,602.34 and 12,038.99 is: 18,059.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,733.38 : 53,602.34 = 12,038.99 : x
  2. Step 2: Convert to fraction form
    35,733.38/53,602.34 = 12,038.99/x
  3. Step 3: Cross multiply
    35,733.38x = 53,602.34 × 12,038.99
  4. Step 4: Simplify right side
    35,733.38x = 645,317,707.03
  5. Step 5: Solve for x
    x = 645,317,707.03/35,733.38
  6. Step 6: Final answer
    x = 18,059.24

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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.