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Finding the Fourth Proportional to 117,764.70, 176,705.46 and 46,685.84

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Solution

The fourth proportional to 117,764.70, 176,705.46 and 46,685.84 is: 70,051.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,764.70 : 176,705.46 = 46,685.84 : x
  2. Step 2: Convert to fraction form
    117,764.70/176,705.46 = 46,685.84/x
  3. Step 3: Cross multiply
    117,764.70x = 176,705.46 × 46,685.84
  4. Step 4: Simplify right side
    117,764.70x = 8,249,642,832.69
  5. Step 5: Solve for x
    x = 8,249,642,832.69/117,764.70
  6. Step 6: Final answer
    x = 70,051.92

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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.