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Finding the Fourth Proportional to 70,655.36, 105,983.04 and 26,281.22

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Solution

The fourth proportional to 70,655.36, 105,983.04 and 26,281.22 is: 39,421.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,655.36 : 105,983.04 = 26,281.22 : x
  2. Step 2: Convert to fraction form
    70,655.36/105,983.04 = 26,281.22/x
  3. Step 3: Cross multiply
    70,655.36x = 105,983.04 × 26,281.22
  4. Step 4: Simplify right side
    70,655.36x = 2,785,363,590.51
  5. Step 5: Solve for x
    x = 2,785,363,590.51/70,655.36
  6. Step 6: Final answer
    x = 39,421.83

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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.