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Finding the Fourth Proportional to 65,106.48, 89,820.50 and 42,437.52

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Solution

The fourth proportional to 65,106.48, 89,820.50 and 42,437.52 is: 58,546.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,106.48 : 89,820.50 = 42,437.52 : x
  2. Step 2: Convert to fraction form
    65,106.48/89,820.50 = 42,437.52/x
  3. Step 3: Cross multiply
    65,106.48x = 89,820.50 × 42,437.52
  4. Step 4: Simplify right side
    65,106.48x = 3,811,759,052.97
  5. Step 5: Solve for x
    x = 3,811,759,052.97/65,106.48
  6. Step 6: Final answer
    x = 58,546.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.