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Finding the Fourth Proportional to 86,697, 119,641.86 and 46,953

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Solution

The fourth proportional to 86,697, 119,641.86 and 46,953 is: 64,795.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,697 : 119,641.86 = 46,953 : x
  2. Step 2: Convert to fraction form
    86,697/119,641.86 = 46,953/x
  3. Step 3: Cross multiply
    86,697x = 119,641.86 × 46,953
  4. Step 4: Simplify right side
    86,697x = 5,617,544,252.58
  5. Step 5: Solve for x
    x = 5,617,544,252.58/86,697
  6. Step 6: Final answer
    x = 64,795.14

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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.