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Finding the Fourth Proportional to 35,478.84, 53,182.32 and 23,006.77

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Solution

The fourth proportional to 35,478.84, 53,182.32 and 23,006.77 is: 34,486.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,478.84 : 53,182.32 = 23,006.77 : x
  2. Step 2: Convert to fraction form
    35,478.84/53,182.32 = 23,006.77/x
  3. Step 3: Cross multiply
    35,478.84x = 53,182.32 × 23,006.77
  4. Step 4: Simplify right side
    35,478.84x = 1,223,553,404.31
  5. Step 5: Solve for x
    x = 1,223,553,404.31/35,478.84
  6. Step 6: Final answer
    x = 34,486.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.