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Finding the Fourth Proportional to 82,783.45, 114,235.55 and 45,056.89

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Solution

The fourth proportional to 82,783.45, 114,235.55 and 45,056.89 is: 62,175.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,783.45 : 114,235.55 = 45,056.89 : x
  2. Step 2: Convert to fraction form
    82,783.45/114,235.55 = 45,056.89/x
  3. Step 3: Cross multiply
    82,783.45x = 114,235.55 × 45,056.89
  4. Step 4: Simplify right side
    82,783.45x = 5,147,098,385.16
  5. Step 5: Solve for x
    x = 5,147,098,385.16/82,783.45
  6. Step 6: Final answer
    x = 62,175.45

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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.