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Finding the Fourth Proportional to 92,816.16, 128,037.84 and 57,014.16

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Solution

The fourth proportional to 92,816.16, 128,037.84 and 57,014.16 is: 78,649.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,816.16 : 128,037.84 = 57,014.16 : x
  2. Step 2: Convert to fraction form
    92,816.16/128,037.84 = 57,014.16/x
  3. Step 3: Cross multiply
    92,816.16x = 128,037.84 × 57,014.16
  4. Step 4: Simplify right side
    92,816.16x = 7,299,969,895.81
  5. Step 5: Solve for x
    x = 7,299,969,895.81/92,816.16
  6. Step 6: Final answer
    x = 78,649.77

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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.