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Finding the Fourth Proportional to 35,473.78, 53,211.80 and 13,282.93

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Solution

The fourth proportional to 35,473.78, 53,211.80 and 13,282.93 is: 19,924.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,473.78 : 53,211.80 = 13,282.93 : x
  2. Step 2: Convert to fraction form
    35,473.78/53,211.80 = 13,282.93/x
  3. Step 3: Cross multiply
    35,473.78x = 53,211.80 × 13,282.93
  4. Step 4: Simplify right side
    35,473.78x = 706,808,614.57
  5. Step 5: Solve for x
    x = 706,808,614.57/35,473.78
  6. Step 6: Final answer
    x = 19,924.82

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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.