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Finding the Fourth Proportional to 109,495.96, 164,200.50 and 37,430.92

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Solution

The fourth proportional to 109,495.96, 164,200.50 and 37,430.92 is: 56,131.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,495.96 : 164,200.50 = 37,430.92 : x
  2. Step 2: Convert to fraction form
    109,495.96/164,200.50 = 37,430.92/x
  3. Step 3: Cross multiply
    109,495.96x = 164,200.50 × 37,430.92
  4. Step 4: Simplify right side
    109,495.96x = 6,146,175,779.46
  5. Step 5: Solve for x
    x = 6,146,175,779.46/109,495.96
  6. Step 6: Final answer
    x = 56,131.53

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1.5x scale

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.