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Finding the Fourth Proportional to 102,392.35, 153,657.72 and 35,833.06

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Solution

The fourth proportional to 102,392.35, 153,657.72 and 35,833.06 is: 53,773.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,392.35 : 153,657.72 = 35,833.06 : x
  2. Step 2: Convert to fraction form
    102,392.35/153,657.72 = 35,833.06/x
  3. Step 3: Cross multiply
    102,392.35x = 153,657.72 × 35,833.06
  4. Step 4: Simplify right side
    102,392.35x = 5,506,026,492.30
  5. Step 5: Solve for x
    x = 5,506,026,492.30/102,392.35
  6. Step 6: Final answer
    x = 53,773.81

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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.