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Finding the Fourth Proportional to 35,655.80, 49,205.40 and 19,740.52

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Solution

The fourth proportional to 35,655.80, 49,205.40 and 19,740.52 is: 27,242.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,655.80 : 49,205.40 = 19,740.52 : x
  2. Step 2: Convert to fraction form
    35,655.80/49,205.40 = 19,740.52/x
  3. Step 3: Cross multiply
    35,655.80x = 49,205.40 × 19,740.52
  4. Step 4: Simplify right side
    35,655.80x = 971,340,182.81
  5. Step 5: Solve for x
    x = 971,340,182.81/35,655.80
  6. Step 6: Final answer
    x = 27,242.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.