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Finding the Fourth Proportional to 93,774.48, 129,411.84 and 51,333

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Solution

The fourth proportional to 93,774.48, 129,411.84 and 51,333 is: 70,841.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,774.48 : 129,411.84 = 51,333 : x
  2. Step 2: Convert to fraction form
    93,774.48/129,411.84 = 51,333/x
  3. Step 3: Cross multiply
    93,774.48x = 129,411.84 × 51,333
  4. Step 4: Simplify right side
    93,774.48x = 6,643,097,982.72
  5. Step 5: Solve for x
    x = 6,643,097,982.72/93,774.48
  6. Step 6: Final answer
    x = 70,841.21

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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.