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Finding the Fourth Proportional to 35,509.50, 53,034 and 32,171.07

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Solution

The fourth proportional to 35,509.50, 53,034 and 32,171.07 is: 48,048.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,509.50 : 53,034 = 32,171.07 : x
  2. Step 2: Convert to fraction form
    35,509.50/53,034 = 32,171.07/x
  3. Step 3: Cross multiply
    35,509.50x = 53,034 × 32,171.07
  4. Step 4: Simplify right side
    35,509.50x = 1,706,160,526.38
  5. Step 5: Solve for x
    x = 1,706,160,526.38/35,509.50
  6. Step 6: Final answer
    x = 48,048.00

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Why These Related Problems?

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