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Finding the Fourth Proportional to 78,972.29, 118,513.78 and 45,646.50

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Solution

The fourth proportional to 78,972.29, 118,513.78 and 45,646.50 is: 68,501.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,972.29 : 118,513.78 = 45,646.50 : x
  2. Step 2: Convert to fraction form
    78,972.29/118,513.78 = 45,646.50/x
  3. Step 3: Cross multiply
    78,972.29x = 118,513.78 × 45,646.50
  4. Step 4: Simplify right side
    78,972.29x = 5,409,739,144.65
  5. Step 5: Solve for x
    x = 5,409,739,144.65/78,972.29
  6. Step 6: Final answer
    x = 68,501.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.