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Finding the Fourth Proportional to 75,224.64, 103,776.60 and 48,362.16

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Solution

The fourth proportional to 75,224.64, 103,776.60 and 48,362.16 is: 66,718.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,224.64 : 103,776.60 = 48,362.16 : x
  2. Step 2: Convert to fraction form
    75,224.64/103,776.60 = 48,362.16/x
  3. Step 3: Cross multiply
    75,224.64x = 103,776.60 × 48,362.16
  4. Step 4: Simplify right side
    75,224.64x = 5,018,860,533.46
  5. Step 5: Solve for x
    x = 5,018,860,533.46/75,224.64
  6. Step 6: Final answer
    x = 66,718.31

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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.