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Finding the Fourth Proportional to 76,015.68, 104,894.64 and 47,672.16

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Solution

The fourth proportional to 76,015.68, 104,894.64 and 47,672.16 is: 65,783.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,015.68 : 104,894.64 = 47,672.16 : x
  2. Step 2: Convert to fraction form
    76,015.68/104,894.64 = 47,672.16/x
  3. Step 3: Cross multiply
    76,015.68x = 104,894.64 × 47,672.16
  4. Step 4: Simplify right side
    76,015.68x = 5,000,554,061.22
  5. Step 5: Solve for x
    x = 5,000,554,061.22/76,015.68
  6. Step 6: Final answer
    x = 65,783.19

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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.