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Finding the Fourth Proportional to 82,688.32, 114,109.30 and 44,962.60

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Solution

The fourth proportional to 82,688.32, 114,109.30 and 44,962.60 is: 62,048.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,688.32 : 114,109.30 = 44,962.60 : x
  2. Step 2: Convert to fraction form
    82,688.32/114,109.30 = 44,962.60/x
  3. Step 3: Cross multiply
    82,688.32x = 114,109.30 × 44,962.60
  4. Step 4: Simplify right side
    82,688.32x = 5,130,650,812.18
  5. Step 5: Solve for x
    x = 5,130,650,812.18/82,688.32
  6. Step 6: Final answer
    x = 62,048.07

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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.