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Finding the Fourth Proportional to 85,013.66, 117,132.81 and 56,284.58

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Solution

The fourth proportional to 85,013.66, 117,132.81 and 56,284.58 is: 77,549.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,013.66 : 117,132.81 = 56,284.58 : x
  2. Step 2: Convert to fraction form
    85,013.66/117,132.81 = 56,284.58/x
  3. Step 3: Cross multiply
    85,013.66x = 117,132.81 × 56,284.58
  4. Step 4: Simplify right side
    85,013.66x = 6,592,771,015.07
  5. Step 5: Solve for x
    x = 6,592,771,015.07/85,013.66
  6. Step 6: Final answer
    x = 77,549.55

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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.