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Finding the Fourth Proportional to 65,048.60, 97,427.10 and 53,384.60

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Solution

The fourth proportional to 65,048.60, 97,427.10 and 53,384.60 is: 79,957.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,048.60 : 97,427.10 = 53,384.60 : x
  2. Step 2: Convert to fraction form
    65,048.60/97,427.10 = 53,384.60/x
  3. Step 3: Cross multiply
    65,048.60x = 97,427.10 × 53,384.60
  4. Step 4: Simplify right side
    65,048.60x = 5,201,106,762.66
  5. Step 5: Solve for x
    x = 5,201,106,762.66/65,048.60
  6. Step 6: Final answer
    x = 79,957.24

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Why These Related Problems?

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