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Finding the Fourth Proportional to 74,644.32, 102,962.88 and 44,409.20

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Solution

The fourth proportional to 74,644.32, 102,962.88 and 44,409.20 is: 61,257.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,644.32 : 102,962.88 = 44,409.20 : x
  2. Step 2: Convert to fraction form
    74,644.32/102,962.88 = 44,409.20/x
  3. Step 3: Cross multiply
    74,644.32x = 102,962.88 × 44,409.20
  4. Step 4: Simplify right side
    74,644.32x = 4,572,499,130.50
  5. Step 5: Solve for x
    x = 4,572,499,130.50/74,644.32
  6. Step 6: Final answer
    x = 61,257.16

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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.