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Finding the Fourth Proportional to 32,959.60, 45,488.72 and 20,210.50

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Solution

The fourth proportional to 32,959.60, 45,488.72 and 20,210.50 is: 27,893.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,959.60 : 45,488.72 = 20,210.50 : x
  2. Step 2: Convert to fraction form
    32,959.60/45,488.72 = 20,210.50/x
  3. Step 3: Cross multiply
    32,959.60x = 45,488.72 × 20,210.50
  4. Step 4: Simplify right side
    32,959.60x = 919,349,775.56
  5. Step 5: Solve for x
    x = 919,349,775.56/32,959.60
  6. Step 6: Final answer
    x = 27,893.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.