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Finding the Fourth Proportional to 78,260.16, 107,997.12 and 44,724.16

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Solution

The fourth proportional to 78,260.16, 107,997.12 and 44,724.16 is: 61,718.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,260.16 : 107,997.12 = 44,724.16 : x
  2. Step 2: Convert to fraction form
    78,260.16/107,997.12 = 44,724.16/x
  3. Step 3: Cross multiply
    78,260.16x = 107,997.12 × 44,724.16
  4. Step 4: Simplify right side
    78,260.16x = 4,830,080,474.42
  5. Step 5: Solve for x
    x = 4,830,080,474.42/78,260.16
  6. Step 6: Final answer
    x = 61,718.25

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1.5x scale

Why These Related Problems?

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