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Finding the Fourth Proportional to 98,242.30, 147,392.20 and 31,681.08

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Solution

The fourth proportional to 98,242.30, 147,392.20 and 31,681.08 is: 47,530.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,242.30 : 147,392.20 = 31,681.08 : x
  2. Step 2: Convert to fraction form
    98,242.30/147,392.20 = 31,681.08/x
  3. Step 3: Cross multiply
    98,242.30x = 147,392.20 × 31,681.08
  4. Step 4: Simplify right side
    98,242.30x = 4,669,544,079.58
  5. Step 5: Solve for x
    x = 4,669,544,079.58/98,242.30
  6. Step 6: Final answer
    x = 47,530.89

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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.