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Finding the Fourth Proportional to 35,992.46, 53,989.96 and 9,697.84

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Solution

The fourth proportional to 35,992.46, 53,989.96 and 9,697.84 is: 14,547.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,992.46 : 53,989.96 = 9,697.84 : x
  2. Step 2: Convert to fraction form
    35,992.46/53,989.96 = 9,697.84/x
  3. Step 3: Cross multiply
    35,992.46x = 53,989.96 × 9,697.84
  4. Step 4: Simplify right side
    35,992.46x = 523,585,834.47
  5. Step 5: Solve for x
    x = 523,585,834.47/35,992.46
  6. Step 6: Final answer
    x = 14,547.10

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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.