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Finding the Fourth Proportional to 35,788.51, 53,666.10 and 13,283.51

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Solution

The fourth proportional to 35,788.51, 53,666.10 and 13,283.51 is: 19,919.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,788.51 : 53,666.10 = 13,283.51 : x
  2. Step 2: Convert to fraction form
    35,788.51/53,666.10 = 13,283.51/x
  3. Step 3: Cross multiply
    35,788.51x = 53,666.10 × 13,283.51
  4. Step 4: Simplify right side
    35,788.51x = 712,874,176.01
  5. Step 5: Solve for x
    x = 712,874,176.01/35,788.51
  6. Step 6: Final answer
    x = 19,919.08

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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.