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Finding the Fourth Proportional to 35,686.98, 53,526.42 and 9,393.77

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Solution

The fourth proportional to 35,686.98, 53,526.42 and 9,393.77 is: 14,089.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,686.98 : 53,526.42 = 9,393.77 : x
  2. Step 2: Convert to fraction form
    35,686.98/53,526.42 = 9,393.77/x
  3. Step 3: Cross multiply
    35,686.98x = 53,526.42 × 9,393.77
  4. Step 4: Simplify right side
    35,686.98x = 502,815,012.22
  5. Step 5: Solve for x
    x = 502,815,012.22/35,686.98
  6. Step 6: Final answer
    x = 14,089.59

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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.