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Finding the Fourth Proportional to 114,057, 171,095.06 and 42,029.52

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Solution

The fourth proportional to 114,057, 171,095.06 and 42,029.52 is: 63,047.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,057 : 171,095.06 = 42,029.52 : x
  2. Step 2: Convert to fraction form
    114,057/171,095.06 = 42,029.52/x
  3. Step 3: Cross multiply
    114,057x = 171,095.06 × 42,029.52
  4. Step 4: Simplify right side
    114,057x = 7,191,043,246.17
  5. Step 5: Solve for x
    x = 7,191,043,246.17/114,057
  6. Step 6: Final answer
    x = 63,047.80

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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.