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Finding the Fourth Proportional to 97,750.50, 134,896.41 and 53,038.50

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Solution

The fourth proportional to 97,750.50, 134,896.41 and 53,038.50 is: 73,193.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,750.50 : 134,896.41 = 53,038.50 : x
  2. Step 2: Convert to fraction form
    97,750.50/134,896.41 = 53,038.50/x
  3. Step 3: Cross multiply
    97,750.50x = 134,896.41 × 53,038.50
  4. Step 4: Simplify right side
    97,750.50x = 7,154,703,241.79
  5. Step 5: Solve for x
    x = 7,154,703,241.79/97,750.50
  6. Step 6: Final answer
    x = 73,193.52

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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.