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Finding the Fourth Proportional to 42,713.87, 58,946.74 and 23,854.64

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Solution

The fourth proportional to 42,713.87, 58,946.74 and 23,854.64 is: 32,920.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,713.87 : 58,946.74 = 23,854.64 : x
  2. Step 2: Convert to fraction form
    42,713.87/58,946.74 = 23,854.64/x
  3. Step 3: Cross multiply
    42,713.87x = 58,946.74 × 23,854.64
  4. Step 4: Simplify right side
    42,713.87x = 1,406,152,907.50
  5. Step 5: Solve for x
    x = 1,406,152,907.50/42,713.87
  6. Step 6: Final answer
    x = 32,920.29

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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.