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Finding the Fourth Proportional to 47,689.98, 65,812.46 and 29,795.40

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Solution

The fourth proportional to 47,689.98, 65,812.46 and 29,795.40 is: 41,117.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,689.98 : 65,812.46 = 29,795.40 : x
  2. Step 2: Convert to fraction form
    47,689.98/65,812.46 = 29,795.40/x
  3. Step 3: Cross multiply
    47,689.98x = 65,812.46 × 29,795.40
  4. Step 4: Simplify right side
    47,689.98x = 1,960,908,421.71
  5. Step 5: Solve for x
    x = 1,960,908,421.71/47,689.98
  6. Step 6: Final answer
    x = 41,117.83

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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.