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Finding the Fourth Proportional to 102,447.72, 153,671.58 and 32,332.50

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Solution

The fourth proportional to 102,447.72, 153,671.58 and 32,332.50 is: 48,498.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,447.72 : 153,671.58 = 32,332.50 : x
  2. Step 2: Convert to fraction form
    102,447.72/153,671.58 = 32,332.50/x
  3. Step 3: Cross multiply
    102,447.72x = 153,671.58 × 32,332.50
  4. Step 4: Simplify right side
    102,447.72x = 4,968,586,360.35
  5. Step 5: Solve for x
    x = 4,968,586,360.35/102,447.72
  6. Step 6: Final answer
    x = 48,498.75

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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.