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Finding the Fourth Proportional to 35,322.80, 52,984.20 and 9,029.60

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Solution

The fourth proportional to 35,322.80, 52,984.20 and 9,029.60 is: 13,544.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,322.80 : 52,984.20 = 9,029.60 : x
  2. Step 2: Convert to fraction form
    35,322.80/52,984.20 = 9,029.60/x
  3. Step 3: Cross multiply
    35,322.80x = 52,984.20 × 9,029.60
  4. Step 4: Simplify right side
    35,322.80x = 478,426,132.32
  5. Step 5: Solve for x
    x = 478,426,132.32/35,322.80
  6. Step 6: Final answer
    x = 13,544.40

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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.