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Finding the Fourth Proportional to 51,077.40, 70,486.62 and 29,852.40

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Solution

The fourth proportional to 51,077.40, 70,486.62 and 29,852.40 is: 41,196.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,077.40 : 70,486.62 = 29,852.40 : x
  2. Step 2: Convert to fraction form
    51,077.40/70,486.62 = 29,852.40/x
  3. Step 3: Cross multiply
    51,077.40x = 70,486.62 × 29,852.40
  4. Step 4: Simplify right side
    51,077.40x = 2,104,194,774.89
  5. Step 5: Solve for x
    x = 2,104,194,774.89/51,077.40
  6. Step 6: Final answer
    x = 41,196.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.