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Finding the Fourth Proportional to 30,077.52, 45,109.68 and 10,089.81

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Solution

The fourth proportional to 30,077.52, 45,109.68 and 10,089.81 is: 15,132.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,077.52 : 45,109.68 = 10,089.81 : x
  2. Step 2: Convert to fraction form
    30,077.52/45,109.68 = 10,089.81/x
  3. Step 3: Cross multiply
    30,077.52x = 45,109.68 × 10,089.81
  4. Step 4: Simplify right side
    30,077.52x = 455,148,100.36
  5. Step 5: Solve for x
    x = 455,148,100.36/30,077.52
  6. Step 6: Final answer
    x = 15,132.50

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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.