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Finding the Fourth Proportional to 65,075.64, 89,805.06 and 38,218.47

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Solution

The fourth proportional to 65,075.64, 89,805.06 and 38,218.47 is: 52,741.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,075.64 : 89,805.06 = 38,218.47 : x
  2. Step 2: Convert to fraction form
    65,075.64/89,805.06 = 38,218.47/x
  3. Step 3: Cross multiply
    65,075.64x = 89,805.06 × 38,218.47
  4. Step 4: Simplify right side
    65,075.64x = 3,432,211,991.46
  5. Step 5: Solve for x
    x = 3,432,211,991.46/65,075.64
  6. Step 6: Final answer
    x = 52,741.89

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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.