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Finding the Fourth Proportional to 121,698.48, 182,548.08 and 37,458

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Solution

The fourth proportional to 121,698.48, 182,548.08 and 37,458 is: 56,187.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,698.48 : 182,548.08 = 37,458 : x
  2. Step 2: Convert to fraction form
    121,698.48/182,548.08 = 37,458/x
  3. Step 3: Cross multiply
    121,698.48x = 182,548.08 × 37,458
  4. Step 4: Simplify right side
    121,698.48x = 6,837,885,980.64
  5. Step 5: Solve for x
    x = 6,837,885,980.64/121,698.48
  6. Step 6: Final answer
    x = 56,187.11

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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.