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Finding the Fourth Proportional to 76,411.70, 114,617.55 and 46,862.90

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Solution

The fourth proportional to 76,411.70, 114,617.55 and 46,862.90 is: 70,294.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,411.70 : 114,617.55 = 46,862.90 : x
  2. Step 2: Convert to fraction form
    76,411.70/114,617.55 = 46,862.90/x
  3. Step 3: Cross multiply
    76,411.70x = 114,617.55 × 46,862.90
  4. Step 4: Simplify right side
    76,411.70x = 5,371,310,783.90
  5. Step 5: Solve for x
    x = 5,371,310,783.90/76,411.70
  6. Step 6: Final answer
    x = 70,294.35

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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.