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Finding the Fourth Proportional to 44,577.68, 61,516.36 and 24,434

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Solution

The fourth proportional to 44,577.68, 61,516.36 and 24,434 is: 33,718.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,577.68 : 61,516.36 = 24,434 : x
  2. Step 2: Convert to fraction form
    44,577.68/61,516.36 = 24,434/x
  3. Step 3: Cross multiply
    44,577.68x = 61,516.36 × 24,434
  4. Step 4: Simplify right side
    44,577.68x = 1,503,090,740.24
  5. Step 5: Solve for x
    x = 1,503,090,740.24/44,577.68
  6. Step 6: Final answer
    x = 33,718.46

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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.