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Finding the Fourth Proportional to 76,492.84, 114,699.67 and 34,336.62

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Solution

The fourth proportional to 76,492.84, 114,699.67 and 34,336.62 is: 51,487.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,492.84 : 114,699.67 = 34,336.62 : x
  2. Step 2: Convert to fraction form
    76,492.84/114,699.67 = 34,336.62/x
  3. Step 3: Cross multiply
    76,492.84x = 114,699.67 × 34,336.62
  4. Step 4: Simplify right side
    76,492.84x = 3,938,398,897.07
  5. Step 5: Solve for x
    x = 3,938,398,897.07/76,492.84
  6. Step 6: Final answer
    x = 51,487.16

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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.