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Finding the Fourth Proportional to 42,364.86, 58,463.53 and 23,502

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Solution

The fourth proportional to 42,364.86, 58,463.53 and 23,502 is: 32,432.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,364.86 : 58,463.53 = 23,502 : x
  2. Step 2: Convert to fraction form
    42,364.86/58,463.53 = 23,502/x
  3. Step 3: Cross multiply
    42,364.86x = 58,463.53 × 23,502
  4. Step 4: Simplify right side
    42,364.86x = 1,374,009,882.06
  5. Step 5: Solve for x
    x = 1,374,009,882.06/42,364.86
  6. Step 6: Final answer
    x = 32,432.77

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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.