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Finding the Fourth Proportional to 102,631.20, 153,808.08 and 46,401.48

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Solution

The fourth proportional to 102,631.20, 153,808.08 and 46,401.48 is: 69,539.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,631.20 : 153,808.08 = 46,401.48 : x
  2. Step 2: Convert to fraction form
    102,631.20/153,808.08 = 46,401.48/x
  3. Step 3: Cross multiply
    102,631.20x = 153,808.08 × 46,401.48
  4. Step 4: Simplify right side
    102,631.20x = 7,136,922,547.96
  5. Step 5: Solve for x
    x = 7,136,922,547.96/102,631.20
  6. Step 6: Final answer
    x = 69,539.50

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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.