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Finding the Fourth Proportional to 42,322.84, 58,409.16 and 24,423.77

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Solution

The fourth proportional to 42,322.84, 58,409.16 and 24,423.77 is: 33,706.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,322.84 : 58,409.16 = 24,423.77 : x
  2. Step 2: Convert to fraction form
    42,322.84/58,409.16 = 24,423.77/x
  3. Step 3: Cross multiply
    42,322.84x = 58,409.16 × 24,423.77
  4. Step 4: Simplify right side
    42,322.84x = 1,426,571,889.73
  5. Step 5: Solve for x
    x = 1,426,571,889.73/42,322.84
  6. Step 6: Final answer
    x = 33,706.90

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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.