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Finding the Fourth Proportional to 35,328.46, 53,000.00 and 11,637.46

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Solution

The fourth proportional to 35,328.46, 53,000.00 and 11,637.46 is: 17,458.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,328.46 : 53,000.00 = 11,637.46 : x
  2. Step 2: Convert to fraction form
    35,328.46/53,000.00 = 11,637.46/x
  3. Step 3: Cross multiply
    35,328.46x = 53,000.00 × 11,637.46
  4. Step 4: Simplify right side
    35,328.46x = 616,785,200.22
  5. Step 5: Solve for x
    x = 616,785,200.22/35,328.46
  6. Step 6: Final answer
    x = 17,458.59

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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.