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Finding the Fourth Proportional to 29,547.68, 44,321.52 and 23,396

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Solution

The fourth proportional to 29,547.68, 44,321.52 and 23,396 is: 35,094

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,547.68 : 44,321.52 = 23,396 : x
  2. Step 2: Convert to fraction form
    29,547.68/44,321.52 = 23,396/x
  3. Step 3: Cross multiply
    29,547.68x = 44,321.52 × 23,396
  4. Step 4: Simplify right side
    29,547.68x = 1,036,946,281.92
  5. Step 5: Solve for x
    x = 1,036,946,281.92/29,547.68
  6. Step 6: Final answer
    x = 35,094

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.