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Finding the Fourth Proportional to 97,280.04, 134,248.50 and 54,838.57

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Solution

The fourth proportional to 97,280.04, 134,248.50 and 54,838.57 is: 75,678.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,280.04 : 134,248.50 = 54,838.57 : x
  2. Step 2: Convert to fraction form
    97,280.04/134,248.50 = 54,838.57/x
  3. Step 3: Cross multiply
    97,280.04x = 134,248.50 × 54,838.57
  4. Step 4: Simplify right side
    97,280.04x = 7,361,995,093.40
  5. Step 5: Solve for x
    x = 7,361,995,093.40/97,280.04
  6. Step 6: Final answer
    x = 75,678.38

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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.