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Finding the Fourth Proportional to 102,552.60, 153,828.90 and 32,437.40

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Solution

The fourth proportional to 102,552.60, 153,828.90 and 32,437.40 is: 48,656.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,552.60 : 153,828.90 = 32,437.40 : x
  2. Step 2: Convert to fraction form
    102,552.60/153,828.90 = 32,437.40/x
  3. Step 3: Cross multiply
    102,552.60x = 153,828.90 × 32,437.40
  4. Step 4: Simplify right side
    102,552.60x = 4,989,809,560.86
  5. Step 5: Solve for x
    x = 4,989,809,560.86/102,552.60
  6. Step 6: Final answer
    x = 48,656.10

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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.