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Finding the Fourth Proportional to 157,029.76, 235,509.22 and 44,707.48

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Solution

The fourth proportional to 157,029.76, 235,509.22 and 44,707.48 is: 67,051.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,029.76 : 235,509.22 = 44,707.48 : x
  2. Step 2: Convert to fraction form
    157,029.76/235,509.22 = 44,707.48/x
  3. Step 3: Cross multiply
    157,029.76x = 235,509.22 × 44,707.48
  4. Step 4: Simplify right side
    157,029.76x = 10,529,023,742.97
  5. Step 5: Solve for x
    x = 10,529,023,742.97/157,029.76
  6. Step 6: Final answer
    x = 67,051.14

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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.