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Finding the Fourth Proportional to 52,510.79, 72,462 and 29,846.63

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Solution

The fourth proportional to 52,510.79, 72,462 and 29,846.63 is: 41,186.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,510.79 : 72,462 = 29,846.63 : x
  2. Step 2: Convert to fraction form
    52,510.79/72,462 = 29,846.63/x
  3. Step 3: Cross multiply
    52,510.79x = 72,462 × 29,846.63
  4. Step 4: Simplify right side
    52,510.79x = 2,162,746,503.06
  5. Step 5: Solve for x
    x = 2,162,746,503.06/52,510.79
  6. Step 6: Final answer
    x = 41,186.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.