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Finding the Fourth Proportional to 35,842.71, 53,730.48 and 12,133.67

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Solution

The fourth proportional to 35,842.71, 53,730.48 and 12,133.67 is: 18,189.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,842.71 : 53,730.48 = 12,133.67 : x
  2. Step 2: Convert to fraction form
    35,842.71/53,730.48 = 12,133.67/x
  3. Step 3: Cross multiply
    35,842.71x = 53,730.48 × 12,133.67
  4. Step 4: Simplify right side
    35,842.71x = 651,947,924.09
  5. Step 5: Solve for x
    x = 651,947,924.09/35,842.71
  6. Step 6: Final answer
    x = 18,189.14

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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.