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Finding the Fourth Proportional to 35,698.10, 53,548 and 12,005.95

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Solution

The fourth proportional to 35,698.10, 53,548 and 12,005.95 is: 18,009.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,698.10 : 53,548 = 12,005.95 : x
  2. Step 2: Convert to fraction form
    35,698.10/53,548 = 12,005.95/x
  3. Step 3: Cross multiply
    35,698.10x = 53,548 × 12,005.95
  4. Step 4: Simplify right side
    35,698.10x = 642,894,610.60
  5. Step 5: Solve for x
    x = 642,894,610.60/35,698.10
  6. Step 6: Final answer
    x = 18,009.21

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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.