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Finding the Fourth Proportional to 82,775.18, 114,241.79 and 46,480.70

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Solution

The fourth proportional to 82,775.18, 114,241.79 and 46,480.70 is: 64,150.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,775.18 : 114,241.79 = 46,480.70 : x
  2. Step 2: Convert to fraction form
    82,775.18/114,241.79 = 46,480.70/x
  3. Step 3: Cross multiply
    82,775.18x = 114,241.79 × 46,480.70
  4. Step 4: Simplify right side
    82,775.18x = 5,310,038,368.45
  5. Step 5: Solve for x
    x = 5,310,038,368.45/82,775.18
  6. Step 6: Final answer
    x = 64,150.13

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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.