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Finding the Fourth Proportional to 102,577.70, 153,852.15 and 32,464.10

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Solution

The fourth proportional to 102,577.70, 153,852.15 and 32,464.10 is: 48,691.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,577.70 : 153,852.15 = 32,464.10 : x
  2. Step 2: Convert to fraction form
    102,577.70/153,852.15 = 32,464.10/x
  3. Step 3: Cross multiply
    102,577.70x = 153,852.15 × 32,464.10
  4. Step 4: Simplify right side
    102,577.70x = 4,994,671,582.82
  5. Step 5: Solve for x
    x = 4,994,671,582.82/102,577.70
  6. Step 6: Final answer
    x = 48,691.59

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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.