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Finding the Fourth Proportional to 84,763.08, 116,978.58 and 47,037.42

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Solution

The fourth proportional to 84,763.08, 116,978.58 and 47,037.42 is: 64,914.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,763.08 : 116,978.58 = 47,037.42 : x
  2. Step 2: Convert to fraction form
    84,763.08/116,978.58 = 47,037.42/x
  3. Step 3: Cross multiply
    84,763.08x = 116,978.58 × 47,037.42
  4. Step 4: Simplify right side
    84,763.08x = 5,502,370,598.46
  5. Step 5: Solve for x
    x = 5,502,370,598.46/84,763.08
  6. Step 6: Final answer
    x = 64,914.71

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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.