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Finding the Fourth Proportional to 98,004.32, 146,971.92 and 42,570.08

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Solution

The fourth proportional to 98,004.32, 146,971.92 and 42,570.08 is: 63,840.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,004.32 : 146,971.92 = 42,570.08 : x
  2. Step 2: Convert to fraction form
    98,004.32/146,971.92 = 42,570.08/x
  3. Step 3: Cross multiply
    98,004.32x = 146,971.92 × 42,570.08
  4. Step 4: Simplify right side
    98,004.32x = 6,256,606,392.15
  5. Step 5: Solve for x
    x = 6,256,606,392.15/98,004.32
  6. Step 6: Final answer
    x = 63,840.11

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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.