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Finding the Fourth Proportional to 84,460.79, 116,547.95 and 57,181.38

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Solution

The fourth proportional to 84,460.79, 116,547.95 and 57,181.38 is: 78,904.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,460.79 : 116,547.95 = 57,181.38 : x
  2. Step 2: Convert to fraction form
    84,460.79/116,547.95 = 57,181.38/x
  3. Step 3: Cross multiply
    84,460.79x = 116,547.95 × 57,181.38
  4. Step 4: Simplify right side
    84,460.79x = 6,664,372,331.26
  5. Step 5: Solve for x
    x = 6,664,372,331.26/84,460.79
  6. Step 6: Final answer
    x = 78,904.93

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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.