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Finding the Fourth Proportional to 102,417.59, 153,626.38 and 32,302.37

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Solution

The fourth proportional to 102,417.59, 153,626.38 and 32,302.37 is: 48,453.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,417.59 : 153,626.38 = 32,302.37 : x
  2. Step 2: Convert to fraction form
    102,417.59/153,626.38 = 32,302.37/x
  3. Step 3: Cross multiply
    102,417.59x = 153,626.38 × 32,302.37
  4. Step 4: Simplify right side
    102,417.59x = 4,962,495,238.88
  5. Step 5: Solve for x
    x = 4,962,495,238.88/102,417.59
  6. Step 6: Final answer
    x = 48,453.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.