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Finding the Fourth Proportional to 68,106.40, 102,159.60 and 21,359.20

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Solution

The fourth proportional to 68,106.40, 102,159.60 and 21,359.20 is: 32,038.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,106.40 : 102,159.60 = 21,359.20 : x
  2. Step 2: Convert to fraction form
    68,106.40/102,159.60 = 21,359.20/x
  3. Step 3: Cross multiply
    68,106.40x = 102,159.60 × 21,359.20
  4. Step 4: Simplify right side
    68,106.40x = 2,182,047,328.32
  5. Step 5: Solve for x
    x = 2,182,047,328.32/68,106.40
  6. Step 6: Final answer
    x = 32,038.80

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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.