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Finding the Fourth Proportional to 35,743.68, 53,601.12 and 10,776

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Solution

The fourth proportional to 35,743.68, 53,601.12 and 10,776 is: 16,159.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,743.68 : 53,601.12 = 10,776 : x
  2. Step 2: Convert to fraction form
    35,743.68/53,601.12 = 10,776/x
  3. Step 3: Cross multiply
    35,743.68x = 53,601.12 × 10,776
  4. Step 4: Simplify right side
    35,743.68x = 577,605,669.12
  5. Step 5: Solve for x
    x = 577,605,669.12/35,743.68
  6. Step 6: Final answer
    x = 16,159.66

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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.