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Finding the Fourth Proportional to 101,341.86, 152,034.54 and 30,270.12

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Solution

The fourth proportional to 101,341.86, 152,034.54 and 30,270.12 is: 45,411.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,341.86 : 152,034.54 = 30,270.12 : x
  2. Step 2: Convert to fraction form
    101,341.86/152,034.54 = 30,270.12/x
  3. Step 3: Cross multiply
    101,341.86x = 152,034.54 × 30,270.12
  4. Step 4: Simplify right side
    101,341.86x = 4,602,103,009.77
  5. Step 5: Solve for x
    x = 4,602,103,009.77/101,341.86
  6. Step 6: Final answer
    x = 45,411.67

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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.