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Finding the Fourth Proportional to 64,980, 97,470.48 and 15,732

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Solution

The fourth proportional to 64,980, 97,470.48 and 15,732 is: 23,598.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,980 : 97,470.48 = 15,732 : x
  2. Step 2: Convert to fraction form
    64,980/97,470.48 = 15,732/x
  3. Step 3: Cross multiply
    64,980x = 97,470.48 × 15,732
  4. Step 4: Simplify right side
    64,980x = 1,533,405,591.36
  5. Step 5: Solve for x
    x = 1,533,405,591.36/64,980
  6. Step 6: Final answer
    x = 23,598.12

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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.