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Finding the Fourth Proportional to 77,864.92, 116,649.69 and 46,208.08

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Solution

The fourth proportional to 77,864.92, 116,649.69 and 46,208.08 is: 69,224.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,864.92 : 116,649.69 = 46,208.08 : x
  2. Step 2: Convert to fraction form
    77,864.92/116,649.69 = 46,208.08/x
  3. Step 3: Cross multiply
    77,864.92x = 116,649.69 × 46,208.08
  4. Step 4: Simplify right side
    77,864.92x = 5,390,158,207.50
  5. Step 5: Solve for x
    x = 5,390,158,207.50/77,864.92
  6. Step 6: Final answer
    x = 69,224.47

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