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Finding the Fourth Proportional to 105,851.76, 158,790.48 and 46,702.32

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Solution

The fourth proportional to 105,851.76, 158,790.48 and 46,702.32 is: 70,059.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,851.76 : 158,790.48 = 46,702.32 : x
  2. Step 2: Convert to fraction form
    105,851.76/158,790.48 = 46,702.32/x
  3. Step 3: Cross multiply
    105,851.76x = 158,790.48 × 46,702.32
  4. Step 4: Simplify right side
    105,851.76x = 7,415,883,809.91
  5. Step 5: Solve for x
    x = 7,415,883,809.91/105,851.76
  6. Step 6: Final answer
    x = 70,059.15

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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.