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Finding the Fourth Proportional to 55,802.25, 77,012.27 and 30,656.61

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Solution

The fourth proportional to 55,802.25, 77,012.27 and 30,656.61 is: 42,308.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,802.25 : 77,012.27 = 30,656.61 : x
  2. Step 2: Convert to fraction form
    55,802.25/77,012.27 = 30,656.61/x
  3. Step 3: Cross multiply
    55,802.25x = 77,012.27 × 30,656.61
  4. Step 4: Simplify right side
    55,802.25x = 2,360,935,088.28
  5. Step 5: Solve for x
    x = 2,360,935,088.28/55,802.25
  6. Step 6: Final answer
    x = 42,308.96

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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.