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Finding the Fourth Proportional to 29,417.94, 44,102.10 and 12,765.45

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Solution

The fourth proportional to 29,417.94, 44,102.10 and 12,765.45 is: 19,137.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,417.94 : 44,102.10 = 12,765.45 : x
  2. Step 2: Convert to fraction form
    29,417.94/44,102.10 = 12,765.45/x
  3. Step 3: Cross multiply
    29,417.94x = 44,102.10 × 12,765.45
  4. Step 4: Simplify right side
    29,417.94x = 562,983,152.45
  5. Step 5: Solve for x
    x = 562,983,152.45/29,417.94
  6. Step 6: Final answer
    x = 19,137.41

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Why These Related Problems?

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