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Finding the Fourth Proportional to 78,369, 117,438.27 and 46,315.08

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Solution

The fourth proportional to 78,369, 117,438.27 and 46,315.08 is: 69,404.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,369 : 117,438.27 = 46,315.08 : x
  2. Step 2: Convert to fraction form
    78,369/117,438.27 = 46,315.08/x
  3. Step 3: Cross multiply
    78,369x = 117,438.27 × 46,315.08
  4. Step 4: Simplify right side
    78,369x = 5,439,162,870.11
  5. Step 5: Solve for x
    x = 5,439,162,870.11/78,369
  6. Step 6: Final answer
    x = 69,404.52

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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.