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Finding the Fourth Proportional to 97,095.84, 145,644.72 and 30,534.48

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Solution

The fourth proportional to 97,095.84, 145,644.72 and 30,534.48 is: 45,802.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,095.84 : 145,644.72 = 30,534.48 : x
  2. Step 2: Convert to fraction form
    97,095.84/145,644.72 = 30,534.48/x
  3. Step 3: Cross multiply
    97,095.84x = 145,644.72 × 30,534.48
  4. Step 4: Simplify right side
    97,095.84x = 4,447,185,789.95
  5. Step 5: Solve for x
    x = 4,447,185,789.95/97,095.84
  6. Step 6: Final answer
    x = 45,802.02

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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.