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Finding the Fourth Proportional to 42,176.09, 58,200.72 and 23,312

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Solution

The fourth proportional to 42,176.09, 58,200.72 and 23,312 is: 32,169.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,176.09 : 58,200.72 = 23,312 : x
  2. Step 2: Convert to fraction form
    42,176.09/58,200.72 = 23,312/x
  3. Step 3: Cross multiply
    42,176.09x = 58,200.72 × 23,312
  4. Step 4: Simplify right side
    42,176.09x = 1,356,775,184.64
  5. Step 5: Solve for x
    x = 1,356,775,184.64/42,176.09
  6. Step 6: Final answer
    x = 32,169.30

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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.