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Finding the Fourth Proportional to 28,047.76, 42,039.34 and 11,389.50

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Solution

The fourth proportional to 28,047.76, 42,039.34 and 11,389.50 is: 17,071.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,047.76 : 42,039.34 = 11,389.50 : x
  2. Step 2: Convert to fraction form
    28,047.76/42,039.34 = 11,389.50/x
  3. Step 3: Cross multiply
    28,047.76x = 42,039.34 × 11,389.50
  4. Step 4: Simplify right side
    28,047.76x = 478,807,034.46
  5. Step 5: Solve for x
    x = 478,807,034.46/28,047.76
  6. Step 6: Final answer
    x = 17,071.13

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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.