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Finding the Fourth Proportional to 82,055.69, 113,193.45 and 56,518.14

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Solution

The fourth proportional to 82,055.69, 113,193.45 and 56,518.14 is: 77,965.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,055.69 : 113,193.45 = 56,518.14 : x
  2. Step 2: Convert to fraction form
    82,055.69/113,193.45 = 56,518.14/x
  3. Step 3: Cross multiply
    82,055.69x = 113,193.45 × 56,518.14
  4. Step 4: Simplify right side
    82,055.69x = 6,397,483,254.18
  5. Step 5: Solve for x
    x = 6,397,483,254.18/82,055.69
  6. Step 6: Final answer
    x = 77,965.14

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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.