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Finding the Fourth Proportional to 55,971, 77,239.98 and 30,820.50

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Solution

The fourth proportional to 55,971, 77,239.98 and 30,820.50 is: 42,532.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,971 : 77,239.98 = 30,820.50 : x
  2. Step 2: Convert to fraction form
    55,971/77,239.98 = 30,820.50/x
  3. Step 3: Cross multiply
    55,971x = 77,239.98 × 30,820.50
  4. Step 4: Simplify right side
    55,971x = 2,380,574,803.59
  5. Step 5: Solve for x
    x = 2,380,574,803.59/55,971
  6. Step 6: Final answer
    x = 42,532.29

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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.