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Finding the Fourth Proportional to 35,101.84, 52,645.74 and 12,907.66

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Solution

The fourth proportional to 35,101.84, 52,645.74 and 12,907.66 is: 19,358.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,101.84 : 52,645.74 = 12,907.66 : x
  2. Step 2: Convert to fraction form
    35,101.84/52,645.74 = 12,907.66/x
  3. Step 3: Cross multiply
    35,101.84x = 52,645.74 × 12,907.66
  4. Step 4: Simplify right side
    35,101.84x = 679,533,312.37
  5. Step 5: Solve for x
    x = 679,533,312.37/35,101.84
  6. Step 6: Final answer
    x = 19,358.91

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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.