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Finding the Fourth Proportional to 99,316.60, 148,943.30 and 32,744.32

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Solution

The fourth proportional to 99,316.60, 148,943.30 and 32,744.32 is: 49,106.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,316.60 : 148,943.30 = 32,744.32 : x
  2. Step 2: Convert to fraction form
    99,316.60/148,943.30 = 32,744.32/x
  3. Step 3: Cross multiply
    99,316.60x = 148,943.30 × 32,744.32
  4. Step 4: Simplify right side
    99,316.60x = 4,877,047,077.06
  5. Step 5: Solve for x
    x = 4,877,047,077.06/99,316.60
  6. Step 6: Final answer
    x = 49,106.06

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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.