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Finding the Fourth Proportional to 35,955.83, 53,958.04 and 12,582.47

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Solution

The fourth proportional to 35,955.83, 53,958.04 and 12,582.47 is: 18,882.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,955.83 : 53,958.04 = 12,582.47 : x
  2. Step 2: Convert to fraction form
    35,955.83/53,958.04 = 12,582.47/x
  3. Step 3: Cross multiply
    35,955.83x = 53,958.04 × 12,582.47
  4. Step 4: Simplify right side
    35,955.83x = 678,925,316.12
  5. Step 5: Solve for x
    x = 678,925,316.12/35,955.83
  6. Step 6: Final answer
    x = 18,882.21

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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.