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Finding the Fourth Proportional to 82,903.56, 114,407.76 and 45,177.78

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Solution

The fourth proportional to 82,903.56, 114,407.76 and 45,177.78 is: 62,345.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,903.56 : 114,407.76 = 45,177.78 : x
  2. Step 2: Convert to fraction form
    82,903.56/114,407.76 = 45,177.78/x
  3. Step 3: Cross multiply
    82,903.56x = 114,407.76 × 45,177.78
  4. Step 4: Simplify right side
    82,903.56x = 5,168,688,611.57
  5. Step 5: Solve for x
    x = 5,168,688,611.57/82,903.56
  6. Step 6: Final answer
    x = 62,345.80

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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.