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Finding the Fourth Proportional to 97,783, 134,940.56 and 53,071

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Solution

The fourth proportional to 97,783, 134,940.56 and 53,071 is: 73,237.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,783 : 134,940.56 = 53,071 : x
  2. Step 2: Convert to fraction form
    97,783/134,940.56 = 53,071/x
  3. Step 3: Cross multiply
    97,783x = 134,940.56 × 53,071
  4. Step 4: Simplify right side
    97,783x = 7,161,430,459.76
  5. Step 5: Solve for x
    x = 7,161,430,459.76/97,783
  6. Step 6: Final answer
    x = 73,237.99

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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.