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Finding the Fourth Proportional to 77,083.59, 106,392.50 and 46,862.50

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Solution

The fourth proportional to 77,083.59, 106,392.50 and 46,862.50 is: 64,680.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,083.59 : 106,392.50 = 46,862.50 : x
  2. Step 2: Convert to fraction form
    77,083.59/106,392.50 = 46,862.50/x
  3. Step 3: Cross multiply
    77,083.59x = 106,392.50 × 46,862.50
  4. Step 4: Simplify right side
    77,083.59x = 4,985,818,531.25
  5. Step 5: Solve for x
    x = 4,985,818,531.25/77,083.59
  6. Step 6: Final answer
    x = 64,680.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.