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Finding the Fourth Proportional to 86,657, 119,586.66 and 46,913

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Solution

The fourth proportional to 86,657, 119,586.66 and 46,913 is: 64,739.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,657 : 119,586.66 = 46,913 : x
  2. Step 2: Convert to fraction form
    86,657/119,586.66 = 46,913/x
  3. Step 3: Cross multiply
    86,657x = 119,586.66 × 46,913
  4. Step 4: Simplify right side
    86,657x = 5,610,168,980.58
  5. Step 5: Solve for x
    x = 5,610,168,980.58/86,657
  6. Step 6: Final answer
    x = 64,739.94

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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.