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Finding the Fourth Proportional to 101,539.53, 152,333.06 and 31,415.13

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Solution

The fourth proportional to 101,539.53, 152,333.06 and 31,415.13 is: 47,130.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,539.53 : 152,333.06 = 31,415.13 : x
  2. Step 2: Convert to fraction form
    101,539.53/152,333.06 = 31,415.13/x
  3. Step 3: Cross multiply
    101,539.53x = 152,333.06 × 31,415.13
  4. Step 4: Simplify right side
    101,539.53x = 4,785,562,726.12
  5. Step 5: Solve for x
    x = 4,785,562,726.12/101,539.53
  6. Step 6: Final answer
    x = 47,130.05

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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.