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Finding the Fourth Proportional to 35,698.59, 53,548.02 and 12,001.77

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Solution

The fourth proportional to 35,698.59, 53,548.02 and 12,001.77 is: 18,002.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,698.59 : 53,548.02 = 12,001.77 : x
  2. Step 2: Convert to fraction form
    35,698.59/53,548.02 = 12,001.77/x
  3. Step 3: Cross multiply
    35,698.59x = 53,548.02 × 12,001.77
  4. Step 4: Simplify right side
    35,698.59x = 642,671,020.00
  5. Step 5: Solve for x
    x = 642,671,020.00/35,698.59
  6. Step 6: Final answer
    x = 18,002.70

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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.