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Finding the Fourth Proportional to 102,420.22, 153,630.33 and 32,305.00

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Solution

The fourth proportional to 102,420.22, 153,630.33 and 32,305.00 is: 48,457.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,420.22 : 153,630.33 = 32,305.00 : x
  2. Step 2: Convert to fraction form
    102,420.22/153,630.33 = 32,305.00/x
  3. Step 3: Cross multiply
    102,420.22x = 153,630.33 × 32,305.00
  4. Step 4: Simplify right side
    102,420.22x = 4,963,026,880.97
  5. Step 5: Solve for x
    x = 4,963,026,880.97/102,420.22
  6. Step 6: Final answer
    x = 48,457.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.