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Finding the Fourth Proportional to 29,970.50, 44,957.92 and 11,502.50

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Solution

The fourth proportional to 29,970.50, 44,957.92 and 11,502.50 is: 17,254.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,970.50 : 44,957.92 = 11,502.50 : x
  2. Step 2: Convert to fraction form
    29,970.50/44,957.92 = 11,502.50/x
  3. Step 3: Cross multiply
    29,970.50x = 44,957.92 × 11,502.50
  4. Step 4: Simplify right side
    29,970.50x = 517,128,474.80
  5. Step 5: Solve for x
    x = 517,128,474.80/29,970.50
  6. Step 6: Final answer
    x = 17,254.58

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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.