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Finding the Fourth Proportional to 35,367.95, 53,057.20 and 11,678.00

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Solution

The fourth proportional to 35,367.95, 53,057.20 and 11,678.00 is: 17,518.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,367.95 : 53,057.20 = 11,678.00 : x
  2. Step 2: Convert to fraction form
    35,367.95/53,057.20 = 11,678.00/x
  3. Step 3: Cross multiply
    35,367.95x = 53,057.20 × 11,678.00
  4. Step 4: Simplify right side
    35,367.95x = 619,602,077.43
  5. Step 5: Solve for x
    x = 619,602,077.43/35,367.95
  6. Step 6: Final answer
    x = 17,518.74

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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.