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Finding the Fourth Proportional to 35,698.72, 53,543.48 and 9,405.48

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Solution

The fourth proportional to 35,698.72, 53,543.48 and 9,405.48 is: 14,107.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,698.72 : 53,543.48 = 9,405.48 : x
  2. Step 2: Convert to fraction form
    35,698.72/53,543.48 = 9,405.48/x
  3. Step 3: Cross multiply
    35,698.72x = 53,543.48 × 9,405.48
  4. Step 4: Simplify right side
    35,698.72x = 503,602,130.27
  5. Step 5: Solve for x
    x = 503,602,130.27/35,698.72
  6. Step 6: Final answer
    x = 14,107.01

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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.