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Finding the Fourth Proportional to 86,513, 119,388.10 and 46,769

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Solution

The fourth proportional to 86,513, 119,388.10 and 46,769 is: 64,541.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,513 : 119,388.10 = 46,769 : x
  2. Step 2: Convert to fraction form
    86,513/119,388.10 = 46,769/x
  3. Step 3: Cross multiply
    86,513x = 119,388.10 × 46,769
  4. Step 4: Simplify right side
    86,513x = 5,583,662,048.90
  5. Step 5: Solve for x
    x = 5,583,662,048.90/86,513
  6. Step 6: Final answer
    x = 64,541.31

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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.