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Finding the Fourth Proportional to 43,038.56, 64,564 and 20,833.68

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Solution

The fourth proportional to 43,038.56, 64,564 and 20,833.68 is: 31,253.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,038.56 : 64,564 = 20,833.68 : x
  2. Step 2: Convert to fraction form
    43,038.56/64,564 = 20,833.68/x
  3. Step 3: Cross multiply
    43,038.56x = 64,564 × 20,833.68
  4. Step 4: Simplify right side
    43,038.56x = 1,345,105,715.52
  5. Step 5: Solve for x
    x = 1,345,105,715.52/43,038.56
  6. Step 6: Final answer
    x = 31,253.50

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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.