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Finding the Fourth Proportional to 35,788.68, 53,666.35 and 13,283.69

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Solution

The fourth proportional to 35,788.68, 53,666.35 and 13,283.69 is: 19,919.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,788.68 : 53,666.35 = 13,283.69 : x
  2. Step 2: Convert to fraction form
    35,788.68/53,666.35 = 13,283.69/x
  3. Step 3: Cross multiply
    35,788.68x = 53,666.35 × 13,283.69
  4. Step 4: Simplify right side
    35,788.68x = 712,886,888.50
  5. Step 5: Solve for x
    x = 712,886,888.50/35,788.68
  6. Step 6: Final answer
    x = 19,919.34

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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.