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Finding the Fourth Proportional to 58,292.98, 80,457.74 and 34,105.16

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Solution

The fourth proportional to 58,292.98, 80,457.74 and 34,105.16 is: 47,072.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,292.98 : 80,457.74 = 34,105.16 : x
  2. Step 2: Convert to fraction form
    58,292.98/80,457.74 = 34,105.16/x
  3. Step 3: Cross multiply
    58,292.98x = 80,457.74 × 34,105.16
  4. Step 4: Simplify right side
    58,292.98x = 2,744,024,095.94
  5. Step 5: Solve for x
    x = 2,744,024,095.94/58,292.98
  6. Step 6: Final answer
    x = 47,072.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.