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Finding the Fourth Proportional to 35,856.47, 53,784.71 and 9,561.31

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Solution

The fourth proportional to 35,856.47, 53,784.71 and 9,561.31 is: 14,341.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,856.47 : 53,784.71 = 9,561.31 : x
  2. Step 2: Convert to fraction form
    35,856.47/53,784.71 = 9,561.31/x
  3. Step 3: Cross multiply
    35,856.47x = 53,784.71 × 9,561.31
  4. Step 4: Simplify right side
    35,856.47x = 514,252,285.57
  5. Step 5: Solve for x
    x = 514,252,285.57/35,856.47
  6. Step 6: Final answer
    x = 14,341.97

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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.