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Finding the Fourth Proportional to 42,646.50, 58,852.17 and 23,783.63

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Solution

The fourth proportional to 42,646.50, 58,852.17 and 23,783.63 is: 32,821.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,646.50 : 58,852.17 = 23,783.63 : x
  2. Step 2: Convert to fraction form
    42,646.50/58,852.17 = 23,783.63/x
  3. Step 3: Cross multiply
    42,646.50x = 58,852.17 × 23,783.63
  4. Step 4: Simplify right side
    42,646.50x = 1,399,717,941.72
  5. Step 5: Solve for x
    x = 1,399,717,941.72/42,646.50
  6. Step 6: Final answer
    x = 32,821.40

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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.