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Finding the Fourth Proportional to 35,407.83, 53,122.98 and 10,448

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Solution

The fourth proportional to 35,407.83, 53,122.98 and 10,448 is: 15,675.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,407.83 : 53,122.98 = 10,448 : x
  2. Step 2: Convert to fraction form
    35,407.83/53,122.98 = 10,448/x
  3. Step 3: Cross multiply
    35,407.83x = 53,122.98 × 10,448
  4. Step 4: Simplify right side
    35,407.83x = 555,028,895.04
  5. Step 5: Solve for x
    x = 555,028,895.04/35,407.83
  6. Step 6: Final answer
    x = 15,675.32

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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.