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Finding the Fourth Proportional to 32,902.50, 45,406.53 and 17,998.50

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Solution

The fourth proportional to 32,902.50, 45,406.53 and 17,998.50 is: 24,838.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,902.50 : 45,406.53 = 17,998.50 : x
  2. Step 2: Convert to fraction form
    32,902.50/45,406.53 = 17,998.50/x
  3. Step 3: Cross multiply
    32,902.50x = 45,406.53 × 17,998.50
  4. Step 4: Simplify right side
    32,902.50x = 817,249,430.21
  5. Step 5: Solve for x
    x = 817,249,430.21/32,902.50
  6. Step 6: Final answer
    x = 24,838.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.