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Finding the Fourth Proportional to 78,048, 116,414.40 and 65,421.72

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Solution

The fourth proportional to 78,048, 116,414.40 and 65,421.72 is: 97,581.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,048 : 116,414.40 = 65,421.72 : x
  2. Step 2: Convert to fraction form
    78,048/116,414.40 = 65,421.72/x
  3. Step 3: Cross multiply
    78,048x = 116,414.40 × 65,421.72
  4. Step 4: Simplify right side
    78,048x = 7,616,030,280.77
  5. Step 5: Solve for x
    x = 7,616,030,280.77/78,048
  6. Step 6: Final answer
    x = 97,581.36

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.