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Finding the Fourth Proportional to 102,521.60, 153,782.40 and 28,649.60

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Solution

The fourth proportional to 102,521.60, 153,782.40 and 28,649.60 is: 42,974.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,521.60 : 153,782.40 = 28,649.60 : x
  2. Step 2: Convert to fraction form
    102,521.60/153,782.40 = 28,649.60/x
  3. Step 3: Cross multiply
    102,521.60x = 153,782.40 × 28,649.60
  4. Step 4: Simplify right side
    102,521.60x = 4,405,804,247.04
  5. Step 5: Solve for x
    x = 4,405,804,247.04/102,521.60
  6. Step 6: Final answer
    x = 42,974.40

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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.