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Finding the Fourth Proportional to 46,649.68, 69,962.72 and 13,370

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Solution

The fourth proportional to 46,649.68, 69,962.72 and 13,370 is: 20,051.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,649.68 : 69,962.72 = 13,370 : x
  2. Step 2: Convert to fraction form
    46,649.68/69,962.72 = 13,370/x
  3. Step 3: Cross multiply
    46,649.68x = 69,962.72 × 13,370
  4. Step 4: Simplify right side
    46,649.68x = 935,401,566.40
  5. Step 5: Solve for x
    x = 935,401,566.40/46,649.68
  6. Step 6: Final answer
    x = 20,051.62

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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.