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Finding the Fourth Proportional to 107,312.16, 160,960.68 and 28,424.64

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Solution

The fourth proportional to 107,312.16, 160,960.68 and 28,424.64 is: 42,634.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,312.16 : 160,960.68 = 28,424.64 : x
  2. Step 2: Convert to fraction form
    107,312.16/160,960.68 = 28,424.64/x
  3. Step 3: Cross multiply
    107,312.16x = 160,960.68 × 28,424.64
  4. Step 4: Simplify right side
    107,312.16x = 4,575,249,383.16
  5. Step 5: Solve for x
    x = 4,575,249,383.16/107,312.16
  6. Step 6: Final answer
    x = 42,634.96

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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.