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Finding the Fourth Proportional to 35,323.07, 52,984.47 and 9,027.77

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Solution

The fourth proportional to 35,323.07, 52,984.47 and 9,027.77 is: 13,541.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,323.07 : 52,984.47 = 9,027.77 : x
  2. Step 2: Convert to fraction form
    35,323.07/52,984.47 = 9,027.77/x
  3. Step 3: Cross multiply
    35,323.07x = 52,984.47 × 9,027.77
  4. Step 4: Simplify right side
    35,323.07x = 478,331,608.73
  5. Step 5: Solve for x
    x = 478,331,608.73/35,323.07
  6. Step 6: Final answer
    x = 13,541.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.