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Finding the Fourth Proportional to 98,762.63, 148,148.16 and 38,804.08

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Solution

The fourth proportional to 98,762.63, 148,148.16 and 38,804.08 is: 58,207.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,762.63 : 148,148.16 = 38,804.08 : x
  2. Step 2: Convert to fraction form
    98,762.63/148,148.16 = 38,804.08/x
  3. Step 3: Cross multiply
    98,762.63x = 148,148.16 × 38,804.08
  4. Step 4: Simplify right side
    98,762.63x = 5,748,753,052.49
  5. Step 5: Solve for x
    x = 5,748,753,052.49/98,762.63
  6. Step 6: Final answer
    x = 58,207.78

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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.