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Finding the Fourth Proportional to 30,557.60, 42,178.32 and 19,802.11

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Solution

The fourth proportional to 30,557.60, 42,178.32 and 19,802.11 is: 27,332.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,557.60 : 42,178.32 = 19,802.11 : x
  2. Step 2: Convert to fraction form
    30,557.60/42,178.32 = 19,802.11/x
  3. Step 3: Cross multiply
    30,557.60x = 42,178.32 × 19,802.11
  4. Step 4: Simplify right side
    30,557.60x = 835,219,824.99
  5. Step 5: Solve for x
    x = 835,219,824.99/30,557.60
  6. Step 6: Final answer
    x = 27,332.64

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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.