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Finding the Fourth Proportional to 93,568.23, 129,124.02 and 53,282

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Solution

The fourth proportional to 93,568.23, 129,124.02 and 53,282 is: 73,529.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,568.23 : 129,124.02 = 53,282 : x
  2. Step 2: Convert to fraction form
    93,568.23/129,124.02 = 53,282/x
  3. Step 3: Cross multiply
    93,568.23x = 129,124.02 × 53,282
  4. Step 4: Simplify right side
    93,568.23x = 6,879,986,033.64
  5. Step 5: Solve for x
    x = 6,879,986,033.64/93,568.23
  6. Step 6: Final answer
    x = 73,529.08

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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.