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Finding the Fourth Proportional to 97,026, 145,460.16 and 43,678.80

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Solution

The fourth proportional to 97,026, 145,460.16 and 43,678.80 is: 65,482.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,026 : 145,460.16 = 43,678.80 : x
  2. Step 2: Convert to fraction form
    97,026/145,460.16 = 43,678.80/x
  3. Step 3: Cross multiply
    97,026x = 145,460.16 × 43,678.80
  4. Step 4: Simplify right side
    97,026x = 6,353,525,236.61
  5. Step 5: Solve for x
    x = 6,353,525,236.61/97,026
  6. Step 6: Final answer
    x = 65,482.71

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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.