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Finding the Fourth Proportional to 47,465, 65,502.84 and 30,727.16

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Solution

The fourth proportional to 47,465, 65,502.84 and 30,727.16 is: 42,404.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,465 : 65,502.84 = 30,727.16 : x
  2. Step 2: Convert to fraction form
    47,465/65,502.84 = 30,727.16/x
  3. Step 3: Cross multiply
    47,465x = 65,502.84 × 30,727.16
  4. Step 4: Simplify right side
    47,465x = 2,012,716,245.13
  5. Step 5: Solve for x
    x = 2,012,716,245.13/47,465
  6. Step 6: Final answer
    x = 42,404.22

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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.