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Finding the Fourth Proportional to 84,762.81, 116,978.15 and 47,037.06

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Solution

The fourth proportional to 84,762.81, 116,978.15 and 47,037.06 is: 64,914.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,762.81 : 116,978.15 = 47,037.06 : x
  2. Step 2: Convert to fraction form
    84,762.81/116,978.15 = 47,037.06/x
  3. Step 3: Cross multiply
    84,762.81x = 116,978.15 × 47,037.06
  4. Step 4: Simplify right side
    84,762.81x = 5,502,308,260.24
  5. Step 5: Solve for x
    x = 5,502,308,260.24/84,762.81
  6. Step 6: Final answer
    x = 64,914.18

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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.