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Finding the Fourth Proportional to 35,335.60, 53,008.65 and 11,638.77

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Solution

The fourth proportional to 35,335.60, 53,008.65 and 11,638.77 is: 17,459.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,335.60 : 53,008.65 = 11,638.77 : x
  2. Step 2: Convert to fraction form
    35,335.60/53,008.65 = 11,638.77/x
  3. Step 3: Cross multiply
    35,335.60x = 53,008.65 × 11,638.77
  4. Step 4: Simplify right side
    35,335.60x = 616,955,162.12
  5. Step 5: Solve for x
    x = 616,955,162.12/35,335.60
  6. Step 6: Final answer
    x = 17,459.88

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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.