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Finding the Fourth Proportional to 58,128, 87,192.81 and 16,575

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Solution

The fourth proportional to 58,128, 87,192.81 and 16,575 is: 24,862.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,128 : 87,192.81 = 16,575 : x
  2. Step 2: Convert to fraction form
    58,128/87,192.81 = 16,575/x
  3. Step 3: Cross multiply
    58,128x = 87,192.81 × 16,575
  4. Step 4: Simplify right side
    58,128x = 1,445,220,825.75
  5. Step 5: Solve for x
    x = 1,445,220,825.75/58,128
  6. Step 6: Final answer
    x = 24,862.73

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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.