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Finding the Fourth Proportional to 97,281.40, 134,246.53 and 54,839.96

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Solution

The fourth proportional to 97,281.40, 134,246.53 and 54,839.96 is: 75,678.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,281.40 : 134,246.53 = 54,839.96 : x
  2. Step 2: Convert to fraction form
    97,281.40/134,246.53 = 54,839.96/x
  3. Step 3: Cross multiply
    97,281.40x = 134,246.53 × 54,839.96
  4. Step 4: Simplify right side
    97,281.40x = 7,362,074,335.34
  5. Step 5: Solve for x
    x = 7,362,074,335.34/97,281.40
  6. Step 6: Final answer
    x = 75,678.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.