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Finding the Fourth Proportional to 84,762, 116,975.21 and 47,036.25

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Solution

The fourth proportional to 84,762, 116,975.21 and 47,036.25 is: 64,912.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,762 : 116,975.21 = 47,036.25 : x
  2. Step 2: Convert to fraction form
    84,762/116,975.21 = 47,036.25/x
  3. Step 3: Cross multiply
    84,762x = 116,975.21 × 47,036.25
  4. Step 4: Simplify right side
    84,762x = 5,502,074,986.18
  5. Step 5: Solve for x
    x = 5,502,074,986.18/84,762
  6. Step 6: Final answer
    x = 64,912.05

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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.