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Finding the Fourth Proportional to 51,398.48, 77,097.72 and 13,962.08

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Solution

The fourth proportional to 51,398.48, 77,097.72 and 13,962.08 is: 20,943.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,398.48 : 77,097.72 = 13,962.08 : x
  2. Step 2: Convert to fraction form
    51,398.48/77,097.72 = 13,962.08/x
  3. Step 3: Cross multiply
    51,398.48x = 77,097.72 × 13,962.08
  4. Step 4: Simplify right side
    51,398.48x = 1,076,444,534.46
  5. Step 5: Solve for x
    x = 1,076,444,534.46/51,398.48
  6. Step 6: Final answer
    x = 20,943.12

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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.