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Finding the Fourth Proportional to 35,512.50, 53,038.47 and 32,174.07

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Solution

The fourth proportional to 35,512.50, 53,038.47 and 32,174.07 is: 48,052.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,512.50 : 53,038.47 = 32,174.07 : x
  2. Step 2: Convert to fraction form
    35,512.50/53,038.47 = 32,174.07/x
  3. Step 3: Cross multiply
    35,512.50x = 53,038.47 × 32,174.07
  4. Step 4: Simplify right side
    35,512.50x = 1,706,463,446.47
  5. Step 5: Solve for x
    x = 1,706,463,446.47/35,512.50
  6. Step 6: Final answer
    x = 48,052.47

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.