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Finding the Fourth Proportional to 42,802.56, 59,069.76 and 23,940

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Solution

The fourth proportional to 42,802.56, 59,069.76 and 23,940 is: 33,038.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,802.56 : 59,069.76 = 23,940 : x
  2. Step 2: Convert to fraction form
    42,802.56/59,069.76 = 23,940/x
  3. Step 3: Cross multiply
    42,802.56x = 59,069.76 × 23,940
  4. Step 4: Simplify right side
    42,802.56x = 1,414,130,054.40
  5. Step 5: Solve for x
    x = 1,414,130,054.40/42,802.56
  6. Step 6: Final answer
    x = 33,038.45

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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.