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Finding the Fourth Proportional to 78,564.48, 108,406.80 and 45,024

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Solution

The fourth proportional to 78,564.48, 108,406.80 and 45,024 is: 62,126.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,564.48 : 108,406.80 = 45,024 : x
  2. Step 2: Convert to fraction form
    78,564.48/108,406.80 = 45,024/x
  3. Step 3: Cross multiply
    78,564.48x = 108,406.80 × 45,024
  4. Step 4: Simplify right side
    78,564.48x = 4,880,907,763.20
  5. Step 5: Solve for x
    x = 4,880,907,763.20/78,564.48
  6. Step 6: Final answer
    x = 62,126.14

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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.