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Finding the Fourth Proportional to 35,740.68, 53,596.62 and 10,773

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Solution

The fourth proportional to 35,740.68, 53,596.62 and 10,773 is: 16,155.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,740.68 : 53,596.62 = 10,773 : x
  2. Step 2: Convert to fraction form
    35,740.68/53,596.62 = 10,773/x
  3. Step 3: Cross multiply
    35,740.68x = 53,596.62 × 10,773
  4. Step 4: Simplify right side
    35,740.68x = 577,396,387.26
  5. Step 5: Solve for x
    x = 577,396,387.26/35,740.68
  6. Step 6: Final answer
    x = 16,155.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.