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Finding the Fourth Proportional to 35,322.95, 52,984.28 and 9,027.65

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Solution

The fourth proportional to 35,322.95, 52,984.28 and 9,027.65 is: 13,541.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,322.95 : 52,984.28 = 9,027.65 : x
  2. Step 2: Convert to fraction form
    35,322.95/52,984.28 = 9,027.65/x
  3. Step 3: Cross multiply
    35,322.95x = 52,984.28 × 9,027.65
  4. Step 4: Simplify right side
    35,322.95x = 478,323,292.99
  5. Step 5: Solve for x
    x = 478,323,292.99/35,322.95
  6. Step 6: Final answer
    x = 13,541.43

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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.