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Finding the Fourth Proportional to 42,035.72, 63,053.58 and 14,333

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Solution

The fourth proportional to 42,035.72, 63,053.58 and 14,333 is: 21,499.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,035.72 : 63,053.58 = 14,333 : x
  2. Step 2: Convert to fraction form
    42,035.72/63,053.58 = 14,333/x
  3. Step 3: Cross multiply
    42,035.72x = 63,053.58 × 14,333
  4. Step 4: Simplify right side
    42,035.72x = 903,746,962.14
  5. Step 5: Solve for x
    x = 903,746,962.14/42,035.72
  6. Step 6: Final answer
    x = 21,499.50

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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.