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Finding the Fourth Proportional to 93,462.62, 128,978.33 and 51,021.14

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Solution

The fourth proportional to 93,462.62, 128,978.33 and 51,021.14 is: 70,409.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,462.62 : 128,978.33 = 51,021.14 : x
  2. Step 2: Convert to fraction form
    93,462.62/128,978.33 = 51,021.14/x
  3. Step 3: Cross multiply
    93,462.62x = 128,978.33 × 51,021.14
  4. Step 4: Simplify right side
    93,462.62x = 6,580,620,531.90
  5. Step 5: Solve for x
    x = 6,580,620,531.90/93,462.62
  6. Step 6: Final answer
    x = 70,409.12

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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.