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Finding the Fourth Proportional to 42,316.80, 58,400.64 and 23,460

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Solution

The fourth proportional to 42,316.80, 58,400.64 and 23,460 is: 32,376.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,316.80 : 58,400.64 = 23,460 : x
  2. Step 2: Convert to fraction form
    42,316.80/58,400.64 = 23,460/x
  3. Step 3: Cross multiply
    42,316.80x = 58,400.64 × 23,460
  4. Step 4: Simplify right side
    42,316.80x = 1,370,079,014.40
  5. Step 5: Solve for x
    x = 1,370,079,014.40/42,316.80
  6. Step 6: Final answer
    x = 32,376.72

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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.