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Finding the Fourth Proportional to 93,825.12, 129,477.64 and 51,381.12

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Solution

The fourth proportional to 93,825.12, 129,477.64 and 51,381.12 is: 70,905.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,825.12 : 129,477.64 = 51,381.12 : x
  2. Step 2: Convert to fraction form
    93,825.12/129,477.64 = 51,381.12/x
  3. Step 3: Cross multiply
    93,825.12x = 129,477.64 × 51,381.12
  4. Step 4: Simplify right side
    93,825.12x = 6,652,706,158.16
  5. Step 5: Solve for x
    x = 6,652,706,158.16/93,825.12
  6. Step 6: Final answer
    x = 70,905.38

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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.