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Finding the Fourth Proportional to 97,038.40, 133,903.44 and 54,596

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Solution

The fourth proportional to 97,038.40, 133,903.44 and 54,596 is: 75,337.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,038.40 : 133,903.44 = 54,596 : x
  2. Step 2: Convert to fraction form
    97,038.40/133,903.44 = 54,596/x
  3. Step 3: Cross multiply
    97,038.40x = 133,903.44 × 54,596
  4. Step 4: Simplify right side
    97,038.40x = 7,310,592,210.24
  5. Step 5: Solve for x
    x = 7,310,592,210.24/97,038.40
  6. Step 6: Final answer
    x = 75,337.11

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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.