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Finding the Fourth Proportional to 86,475, 119,335.66 and 46,731

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Solution

The fourth proportional to 86,475, 119,335.66 and 46,731 is: 64,488.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,475 : 119,335.66 = 46,731 : x
  2. Step 2: Convert to fraction form
    86,475/119,335.66 = 46,731/x
  3. Step 3: Cross multiply
    86,475x = 119,335.66 × 46,731
  4. Step 4: Simplify right side
    86,475x = 5,576,674,727.46
  5. Step 5: Solve for x
    x = 5,576,674,727.46/86,475
  6. Step 6: Final answer
    x = 64,488.87

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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.