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Finding the Fourth Proportional to 35,378.66, 53,056.72 and 11,681.80

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Solution

The fourth proportional to 35,378.66, 53,056.72 and 11,681.80 is: 17,518.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,378.66 : 53,056.72 = 11,681.80 : x
  2. Step 2: Convert to fraction form
    35,378.66/53,056.72 = 11,681.80/x
  3. Step 3: Cross multiply
    35,378.66x = 53,056.72 × 11,681.80
  4. Step 4: Simplify right side
    35,378.66x = 619,797,991.70
  5. Step 5: Solve for x
    x = 619,797,991.70/35,378.66
  6. Step 6: Final answer
    x = 17,518.98

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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.