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Finding the Fourth Proportional to 97,858.32, 146,752.92 and 42,424.08

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Solution

The fourth proportional to 97,858.32, 146,752.92 and 42,424.08 is: 63,621.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,858.32 : 146,752.92 = 42,424.08 : x
  2. Step 2: Convert to fraction form
    97,858.32/146,752.92 = 42,424.08/x
  3. Step 3: Cross multiply
    97,858.32x = 146,752.92 × 42,424.08
  4. Step 4: Simplify right side
    97,858.32x = 6,225,857,618.31
  5. Step 5: Solve for x
    x = 6,225,857,618.31/97,858.32
  6. Step 6: Final answer
    x = 63,621.14

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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.