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Finding the Fourth Proportional to 117,426.48, 176,160.84 and 47,310

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Solution

The fourth proportional to 117,426.48, 176,160.84 and 47,310 is: 70,973.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,426.48 : 176,160.84 = 47,310 : x
  2. Step 2: Convert to fraction form
    117,426.48/176,160.84 = 47,310/x
  3. Step 3: Cross multiply
    117,426.48x = 176,160.84 × 47,310
  4. Step 4: Simplify right side
    117,426.48x = 8,334,169,340.40
  5. Step 5: Solve for x
    x = 8,334,169,340.40/117,426.48
  6. Step 6: Final answer
    x = 70,973.51

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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.