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Finding the Fourth Proportional to 70,394.32, 105,572.94 and 26,033.77

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Solution

The fourth proportional to 70,394.32, 105,572.94 and 26,033.77 is: 39,043.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,394.32 : 105,572.94 = 26,033.77 : x
  2. Step 2: Convert to fraction form
    70,394.32/105,572.94 = 26,033.77/x
  3. Step 3: Cross multiply
    70,394.32x = 105,572.94 × 26,033.77
  4. Step 4: Simplify right side
    70,394.32x = 2,748,461,638.18
  5. Step 5: Solve for x
    x = 2,748,461,638.18/70,394.32
  6. Step 6: Final answer
    x = 39,043.80

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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.