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Finding the Fourth Proportional to 74,264.46, 102,475.74 and 47,422.68

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Solution

The fourth proportional to 74,264.46, 102,475.74 and 47,422.68 is: 65,437.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,264.46 : 102,475.74 = 47,422.68 : x
  2. Step 2: Convert to fraction form
    74,264.46/102,475.74 = 47,422.68/x
  3. Step 3: Cross multiply
    74,264.46x = 102,475.74 × 47,422.68
  4. Step 4: Simplify right side
    74,264.46x = 4,859,674,225.78
  5. Step 5: Solve for x
    x = 4,859,674,225.78/74,264.46
  6. Step 6: Final answer
    x = 65,437.41

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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.