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Finding the Fourth Proportional to 65,597.32, 90,523.84 and 37,303

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Solution

The fourth proportional to 65,597.32, 90,523.84 and 37,303 is: 51,477.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,597.32 : 90,523.84 = 37,303 : x
  2. Step 2: Convert to fraction form
    65,597.32/90,523.84 = 37,303/x
  3. Step 3: Cross multiply
    65,597.32x = 90,523.84 × 37,303
  4. Step 4: Simplify right side
    65,597.32x = 3,376,810,803.52
  5. Step 5: Solve for x
    x = 3,376,810,803.52/65,597.32
  6. Step 6: Final answer
    x = 51,477.88

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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.