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Finding the Fourth Proportional to 117,417.84, 176,159.52 and 47,346

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Solution

The fourth proportional to 117,417.84, 176,159.52 and 47,346 is: 71,032.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,417.84 : 176,159.52 = 47,346 : x
  2. Step 2: Convert to fraction form
    117,417.84/176,159.52 = 47,346/x
  3. Step 3: Cross multiply
    117,417.84x = 176,159.52 × 47,346
  4. Step 4: Simplify right side
    117,417.84x = 8,340,448,633.92
  5. Step 5: Solve for x
    x = 8,340,448,633.92/117,417.84
  6. Step 6: Final answer
    x = 71,032.21

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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.