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Finding the Fourth Proportional to 71,159.68, 98,200.20 and 46,009

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Solution

The fourth proportional to 71,159.68, 98,200.20 and 46,009 is: 63,492.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,159.68 : 98,200.20 = 46,009 : x
  2. Step 2: Convert to fraction form
    71,159.68/98,200.20 = 46,009/x
  3. Step 3: Cross multiply
    71,159.68x = 98,200.20 × 46,009
  4. Step 4: Simplify right side
    71,159.68x = 4,518,093,001.80
  5. Step 5: Solve for x
    x = 4,518,093,001.80/71,159.68
  6. Step 6: Final answer
    x = 63,492.32

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