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Finding the Fourth Proportional to 84,762.36, 116,967.24 and 47,034

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Solution

The fourth proportional to 84,762.36, 116,967.24 and 47,034 is: 64,904.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,762.36 : 116,967.24 = 47,034 : x
  2. Step 2: Convert to fraction form
    84,762.36/116,967.24 = 47,034/x
  3. Step 3: Cross multiply
    84,762.36x = 116,967.24 × 47,034
  4. Step 4: Simplify right side
    84,762.36x = 5,501,437,166.16
  5. Step 5: Solve for x
    x = 5,501,437,166.16/84,762.36
  6. Step 6: Final answer
    x = 64,904.25

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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.