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Finding the Fourth Proportional to 52,004.48, 71,765.73 and 28,130.94

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Solution

The fourth proportional to 52,004.48, 71,765.73 and 28,130.94 is: 38,820.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,004.48 : 71,765.73 = 28,130.94 : x
  2. Step 2: Convert to fraction form
    52,004.48/71,765.73 = 28,130.94/x
  3. Step 3: Cross multiply
    52,004.48x = 71,765.73 × 28,130.94
  4. Step 4: Simplify right side
    52,004.48x = 2,018,837,444.69
  5. Step 5: Solve for x
    x = 2,018,837,444.69/52,004.48
  6. Step 6: Final answer
    x = 38,820.46

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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.