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Finding the Fourth Proportional to 65,510.69, 90,404.30 and 37,216.38

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Solution

The fourth proportional to 65,510.69, 90,404.30 and 37,216.38 is: 51,358.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,510.69 : 90,404.30 = 37,216.38 : x
  2. Step 2: Convert to fraction form
    65,510.69/90,404.30 = 37,216.38/x
  3. Step 3: Cross multiply
    65,510.69x = 90,404.30 × 37,216.38
  4. Step 4: Simplify right side
    65,510.69x = 3,364,520,875.47
  5. Step 5: Solve for x
    x = 3,364,520,875.47/65,510.69
  6. Step 6: Final answer
    x = 51,358.35

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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.