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Finding the Fourth Proportional to 35,384.52, 53,077.31 and 9,088.68

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Solution

The fourth proportional to 35,384.52, 53,077.31 and 9,088.68 is: 13,633.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,384.52 : 53,077.31 = 9,088.68 : x
  2. Step 2: Convert to fraction form
    35,384.52/53,077.31 = 9,088.68/x
  3. Step 3: Cross multiply
    35,384.52x = 53,077.31 × 9,088.68
  4. Step 4: Simplify right side
    35,384.52x = 482,402,685.85
  5. Step 5: Solve for x
    x = 482,402,685.85/35,384.52
  6. Step 6: Final answer
    x = 13,633.16

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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.