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Finding the Fourth Proportional to 46,394, 69,602.56 and 13,562

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Solution

The fourth proportional to 46,394, 69,602.56 and 13,562 is: 20,346.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,394 : 69,602.56 = 13,562 : x
  2. Step 2: Convert to fraction form
    46,394/69,602.56 = 13,562/x
  3. Step 3: Cross multiply
    46,394x = 69,602.56 × 13,562
  4. Step 4: Simplify right side
    46,394x = 943,949,918.72
  5. Step 5: Solve for x
    x = 943,949,918.72/46,394
  6. Step 6: Final answer
    x = 20,346.38

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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.