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Finding the Fourth Proportional to 28,077.50, 42,123.54 and 10,552.34

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Solution

The fourth proportional to 28,077.50, 42,123.54 and 10,552.34 is: 15,831.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,077.50 : 42,123.54 = 10,552.34 : x
  2. Step 2: Convert to fraction form
    28,077.50/42,123.54 = 10,552.34/x
  3. Step 3: Cross multiply
    28,077.50x = 42,123.54 × 10,552.34
  4. Step 4: Simplify right side
    28,077.50x = 444,501,916.08
  5. Step 5: Solve for x
    x = 444,501,916.08/28,077.50
  6. Step 6: Final answer
    x = 15,831.25

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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.