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Finding the Fourth Proportional to 66,146.16, 91,317.24 and 51,005.64

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Solution

The fourth proportional to 66,146.16, 91,317.24 and 51,005.64 is: 70,415.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,146.16 : 91,317.24 = 51,005.64 : x
  2. Step 2: Convert to fraction form
    66,146.16/91,317.24 = 51,005.64/x
  3. Step 3: Cross multiply
    66,146.16x = 91,317.24 × 51,005.64
  4. Step 4: Simplify right side
    66,146.16x = 4,657,694,269.23
  5. Step 5: Solve for x
    x = 4,657,694,269.23/66,146.16
  6. Step 6: Final answer
    x = 70,415.19

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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.