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Finding the Fourth Proportional to 46,670.83, 69,978.09 and 18,595.23

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Solution

The fourth proportional to 46,670.83, 69,978.09 and 18,595.23 is: 27,881.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,670.83 : 69,978.09 = 18,595.23 : x
  2. Step 2: Convert to fraction form
    46,670.83/69,978.09 = 18,595.23/x
  3. Step 3: Cross multiply
    46,670.83x = 69,978.09 × 18,595.23
  4. Step 4: Simplify right side
    46,670.83x = 1,301,258,328.62
  5. Step 5: Solve for x
    x = 1,301,258,328.62/46,670.83
  6. Step 6: Final answer
    x = 27,881.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.