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Finding the Fourth Proportional to 35,521, 53,291.94 and 10,561.24

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Solution

The fourth proportional to 35,521, 53,291.94 and 10,561.24 is: 15,844.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,521 : 53,291.94 = 10,561.24 : x
  2. Step 2: Convert to fraction form
    35,521/53,291.94 = 10,561.24/x
  3. Step 3: Cross multiply
    35,521x = 53,291.94 × 10,561.24
  4. Step 4: Simplify right side
    35,521x = 562,828,968.41
  5. Step 5: Solve for x
    x = 562,828,968.41/35,521
  6. Step 6: Final answer
    x = 15,844.96

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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.