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Finding the Fourth Proportional to 46,417.24, 69,683.72 and 46,204

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Solution

The fourth proportional to 46,417.24, 69,683.72 and 46,204 is: 69,363.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,417.24 : 69,683.72 = 46,204 : x
  2. Step 2: Convert to fraction form
    46,417.24/69,683.72 = 46,204/x
  3. Step 3: Cross multiply
    46,417.24x = 69,683.72 × 46,204
  4. Step 4: Simplify right side
    46,417.24x = 3,219,666,598.88
  5. Step 5: Solve for x
    x = 3,219,666,598.88/46,417.24
  6. Step 6: Final answer
    x = 69,363.59

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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.