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Finding the Fourth Proportional to 75,907.86, 113,862.18 and 31,534.67

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Solution

The fourth proportional to 75,907.86, 113,862.18 and 31,534.67 is: 47,302.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,907.86 : 113,862.18 = 31,534.67 : x
  2. Step 2: Convert to fraction form
    75,907.86/113,862.18 = 31,534.67/x
  3. Step 3: Cross multiply
    75,907.86x = 113,862.18 × 31,534.67
  4. Step 4: Simplify right side
    75,907.86x = 3,590,605,702.47
  5. Step 5: Solve for x
    x = 3,590,605,702.47/75,907.86
  6. Step 6: Final answer
    x = 47,302.16

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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.