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Finding the Fourth Proportional to 107,730.96, 161,523.54 and 37,572

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Solution

The fourth proportional to 107,730.96, 161,523.54 and 37,572 is: 56,332.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,730.96 : 161,523.54 = 37,572 : x
  2. Step 2: Convert to fraction form
    107,730.96/161,523.54 = 37,572/x
  3. Step 3: Cross multiply
    107,730.96x = 161,523.54 × 37,572
  4. Step 4: Simplify right side
    107,730.96x = 6,068,762,444.88
  5. Step 5: Solve for x
    x = 6,068,762,444.88/107,730.96
  6. Step 6: Final answer
    x = 56,332.58

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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.