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Finding the Fourth Proportional to 46,997.84, 70,778.12 and 42,798.80

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Solution

The fourth proportional to 46,997.84, 70,778.12 and 42,798.80 is: 64,454.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,997.84 : 70,778.12 = 42,798.80 : x
  2. Step 2: Convert to fraction form
    46,997.84/70,778.12 = 42,798.80/x
  3. Step 3: Cross multiply
    46,997.84x = 70,778.12 × 42,798.80
  4. Step 4: Simplify right side
    46,997.84x = 3,029,218,602.26
  5. Step 5: Solve for x
    x = 3,029,218,602.26/46,997.84
  6. Step 6: Final answer
    x = 64,454.42

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.