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Finding the Fourth Proportional to 78,492.80, 117,977.09 and 51,929.40

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Solution

The fourth proportional to 78,492.80, 117,977.09 and 51,929.40 is: 78,051.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,492.80 : 117,977.09 = 51,929.40 : x
  2. Step 2: Convert to fraction form
    78,492.80/117,977.09 = 51,929.40/x
  3. Step 3: Cross multiply
    78,492.80x = 117,977.09 × 51,929.40
  4. Step 4: Simplify right side
    78,492.80x = 6,126,479,237.80
  5. Step 5: Solve for x
    x = 6,126,479,237.80/78,492.80
  6. Step 6: Final answer
    x = 78,051.49

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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.