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Finding the Fourth Proportional to 70,502.30, 97,259.64 and 42,202.52

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Solution

The fourth proportional to 70,502.30, 97,259.64 and 42,202.52 is: 58,219.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,502.30 : 97,259.64 = 42,202.52 : x
  2. Step 2: Convert to fraction form
    70,502.30/97,259.64 = 42,202.52/x
  3. Step 3: Cross multiply
    70,502.30x = 97,259.64 × 42,202.52
  4. Step 4: Simplify right side
    70,502.30x = 4,104,601,902.29
  5. Step 5: Solve for x
    x = 4,104,601,902.29/70,502.30
  6. Step 6: Final answer
    x = 58,219.40

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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.