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Finding the Fourth Proportional to 97,054.40, 145,466.40 and 40,894.40

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Solution

The fourth proportional to 97,054.40, 145,466.40 and 40,894.40 is: 61,293.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,054.40 : 145,466.40 = 40,894.40 : x
  2. Step 2: Convert to fraction form
    97,054.40/145,466.40 = 40,894.40/x
  3. Step 3: Cross multiply
    97,054.40x = 145,466.40 × 40,894.40
  4. Step 4: Simplify right side
    97,054.40x = 5,948,761,148.16
  5. Step 5: Solve for x
    x = 5,948,761,148.16/97,054.40
  6. Step 6: Final answer
    x = 61,293.06

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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.