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Finding the Fourth Proportional to 97,756.17, 134,903.43 and 53,044.17

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Solution

The fourth proportional to 97,756.17, 134,903.43 and 53,044.17 is: 73,200.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,756.17 : 134,903.43 = 53,044.17 : x
  2. Step 2: Convert to fraction form
    97,756.17/134,903.43 = 53,044.17/x
  3. Step 3: Cross multiply
    97,756.17x = 134,903.43 × 53,044.17
  4. Step 4: Simplify right side
    97,756.17x = 7,155,840,474.50
  5. Step 5: Solve for x
    x = 7,155,840,474.50/97,756.17
  6. Step 6: Final answer
    x = 73,200.91

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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.