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Finding the Fourth Proportional to 70,333.06, 105,477.72 and 23,575

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Solution

The fourth proportional to 70,333.06, 105,477.72 and 23,575 is: 35,355.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,333.06 : 105,477.72 = 23,575 : x
  2. Step 2: Convert to fraction form
    70,333.06/105,477.72 = 23,575/x
  3. Step 3: Cross multiply
    70,333.06x = 105,477.72 × 23,575
  4. Step 4: Simplify right side
    70,333.06x = 2,486,637,249
  5. Step 5: Solve for x
    x = 2,486,637,249/70,333.06
  6. Step 6: Final answer
    x = 35,355.17

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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.