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Finding the Fourth Proportional to 32,412.52, 48,709.98 and 19,267.24

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Solution

The fourth proportional to 32,412.52, 48,709.98 and 19,267.24 is: 28,955.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,412.52 : 48,709.98 = 19,267.24 : x
  2. Step 2: Convert to fraction form
    32,412.52/48,709.98 = 19,267.24/x
  3. Step 3: Cross multiply
    32,412.52x = 48,709.98 × 19,267.24
  4. Step 4: Simplify right side
    32,412.52x = 938,506,875.06
  5. Step 5: Solve for x
    x = 938,506,875.06/32,412.52
  6. Step 6: Final answer
    x = 28,955.07

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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.