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Finding the Fourth Proportional to 35,952.08, 53,928.08 and 9,656.81

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Solution

The fourth proportional to 35,952.08, 53,928.08 and 9,656.81 is: 14,485.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,952.08 : 53,928.08 = 9,656.81 : x
  2. Step 2: Convert to fraction form
    35,952.08/53,928.08 = 9,656.81/x
  3. Step 3: Cross multiply
    35,952.08x = 53,928.08 × 9,656.81
  4. Step 4: Simplify right side
    35,952.08x = 520,772,904.30
  5. Step 5: Solve for x
    x = 520,772,904.30/35,952.08
  6. Step 6: Final answer
    x = 14,485.20

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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.