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Finding the Fourth Proportional to 78,371, 117,441.27 and 46,317.08

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Solution

The fourth proportional to 78,371, 117,441.27 and 46,317.08 is: 69,407.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,371 : 117,441.27 = 46,317.08 : x
  2. Step 2: Convert to fraction form
    78,371/117,441.27 = 46,317.08/x
  3. Step 3: Cross multiply
    78,371x = 117,441.27 × 46,317.08
  4. Step 4: Simplify right side
    78,371x = 5,439,536,697.89
  5. Step 5: Solve for x
    x = 5,439,536,697.89/78,371
  6. Step 6: Final answer
    x = 69,407.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.