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Finding the Fourth Proportional to 114,649.80, 171,975.78 and 34,688.40

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Solution

The fourth proportional to 114,649.80, 171,975.78 and 34,688.40 is: 52,032.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,649.80 : 171,975.78 = 34,688.40 : x
  2. Step 2: Convert to fraction form
    114,649.80/171,975.78 = 34,688.40/x
  3. Step 3: Cross multiply
    114,649.80x = 171,975.78 × 34,688.40
  4. Step 4: Simplify right side
    114,649.80x = 5,965,564,646.95
  5. Step 5: Solve for x
    x = 5,965,564,646.95/114,649.80
  6. Step 6: Final answer
    x = 52,032.93

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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.