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Finding the Fourth Proportional to 58,133, 87,200.34 and 16,580

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Solution

The fourth proportional to 58,133, 87,200.34 and 16,580 is: 24,870.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,133 : 87,200.34 = 16,580 : x
  2. Step 2: Convert to fraction form
    58,133/87,200.34 = 16,580/x
  3. Step 3: Cross multiply
    58,133x = 87,200.34 × 16,580
  4. Step 4: Simplify right side
    58,133x = 1,445,781,637.20
  5. Step 5: Solve for x
    x = 1,445,781,637.20/58,133
  6. Step 6: Final answer
    x = 24,870.24

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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.