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Finding the Fourth Proportional to 114,577.94, 171,875.13 and 47,951

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Solution

The fourth proportional to 114,577.94, 171,875.13 and 47,951 is: 71,929.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,577.94 : 171,875.13 = 47,951 : x
  2. Step 2: Convert to fraction form
    114,577.94/171,875.13 = 47,951/x
  3. Step 3: Cross multiply
    114,577.94x = 171,875.13 × 47,951
  4. Step 4: Simplify right side
    114,577.94x = 8,241,584,358.63
  5. Step 5: Solve for x
    x = 8,241,584,358.63/114,577.94
  6. Step 6: Final answer
    x = 71,929.94

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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.