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Finding the Fourth Proportional to 35,797.79, 53,703.29 and 11,783.45

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Solution

The fourth proportional to 35,797.79, 53,703.29 and 11,783.45 is: 17,677.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,797.79 : 53,703.29 = 11,783.45 : x
  2. Step 2: Convert to fraction form
    35,797.79/53,703.29 = 11,783.45/x
  3. Step 3: Cross multiply
    35,797.79x = 53,703.29 × 11,783.45
  4. Step 4: Simplify right side
    35,797.79x = 632,810,032.55
  5. Step 5: Solve for x
    x = 632,810,032.55/35,797.79
  6. Step 6: Final answer
    x = 17,677.35

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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.