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Finding the Fourth Proportional to 105,830.70, 158,746.05 and 46,635.90

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Solution

The fourth proportional to 105,830.70, 158,746.05 and 46,635.90 is: 69,953.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,830.70 : 158,746.05 = 46,635.90 : x
  2. Step 2: Convert to fraction form
    105,830.70/158,746.05 = 46,635.90/x
  3. Step 3: Cross multiply
    105,830.70x = 158,746.05 × 46,635.90
  4. Step 4: Simplify right side
    105,830.70x = 7,403,264,913.20
  5. Step 5: Solve for x
    x = 7,403,264,913.20/105,830.70
  6. Step 6: Final answer
    x = 69,953.85

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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.