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Finding the Fourth Proportional to 35,468.64, 53,071.12 and 22,259.16

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Solution

The fourth proportional to 35,468.64, 53,071.12 and 22,259.16 is: 33,306.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,468.64 : 53,071.12 = 22,259.16 : x
  2. Step 2: Convert to fraction form
    35,468.64/53,071.12 = 22,259.16/x
  3. Step 3: Cross multiply
    35,468.64x = 53,071.12 × 22,259.16
  4. Step 4: Simplify right side
    35,468.64x = 1,181,318,551.46
  5. Step 5: Solve for x
    x = 1,181,318,551.46/35,468.64
  6. Step 6: Final answer
    x = 33,306.00

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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.