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Finding the Fourth Proportional to 65,038.80, 97,558.20 and 41,710.80

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Solution

The fourth proportional to 65,038.80, 97,558.20 and 41,710.80 is: 62,566.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,038.80 : 97,558.20 = 41,710.80 : x
  2. Step 2: Convert to fraction form
    65,038.80/97,558.20 = 41,710.80/x
  3. Step 3: Cross multiply
    65,038.80x = 97,558.20 × 41,710.80
  4. Step 4: Simplify right side
    65,038.80x = 4,069,230,568.56
  5. Step 5: Solve for x
    x = 4,069,230,568.56/65,038.80
  6. Step 6: Final answer
    x = 62,566.20

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