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Finding the Fourth Proportional to 65,130.82, 97,784.49 and 45,092.20

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Solution

The fourth proportional to 65,130.82, 97,784.49 and 45,092.20 is: 67,699.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,130.82 : 97,784.49 = 45,092.20 : x
  2. Step 2: Convert to fraction form
    65,130.82/97,784.49 = 45,092.20/x
  3. Step 3: Cross multiply
    65,130.82x = 97,784.49 × 45,092.20
  4. Step 4: Simplify right side
    65,130.82x = 4,409,317,779.98
  5. Step 5: Solve for x
    x = 4,409,317,779.98/65,130.82
  6. Step 6: Final answer
    x = 67,699.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.