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Finding the Fourth Proportional to 76,236.50, 105,206.38 and 42,702.50

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Solution

The fourth proportional to 76,236.50, 105,206.38 and 42,702.50 is: 58,929.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,236.50 : 105,206.38 = 42,702.50 : x
  2. Step 2: Convert to fraction form
    76,236.50/105,206.38 = 42,702.50/x
  3. Step 3: Cross multiply
    76,236.50x = 105,206.38 × 42,702.50
  4. Step 4: Simplify right side
    76,236.50x = 4,492,575,441.95
  5. Step 5: Solve for x
    x = 4,492,575,441.95/76,236.50
  6. Step 6: Final answer
    x = 58,929.46

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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.