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Finding the Fourth Proportional to 117,806.21, 176,708.48 and 47,684.51

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Solution

The fourth proportional to 117,806.21, 176,708.48 and 47,684.51 is: 71,526.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,806.21 : 176,708.48 = 47,684.51 : x
  2. Step 2: Convert to fraction form
    117,806.21/176,708.48 = 47,684.51/x
  3. Step 3: Cross multiply
    117,806.21x = 176,708.48 × 47,684.51
  4. Step 4: Simplify right side
    117,806.21x = 8,426,256,159.68
  5. Step 5: Solve for x
    x = 8,426,256,159.68/117,806.21
  6. Step 6: Final answer
    x = 71,526.42

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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.