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Finding the Fourth Proportional to 70,203.42, 96,945.75 and 45,097.02

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Solution

The fourth proportional to 70,203.42, 96,945.75 and 45,097.02 is: 62,275.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,203.42 : 96,945.75 = 45,097.02 : x
  2. Step 2: Convert to fraction form
    70,203.42/96,945.75 = 45,097.02/x
  3. Step 3: Cross multiply
    70,203.42x = 96,945.75 × 45,097.02
  4. Step 4: Simplify right side
    70,203.42x = 4,371,964,426.67
  5. Step 5: Solve for x
    x = 4,371,964,426.67/70,203.42
  6. Step 6: Final answer
    x = 62,275.66

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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.