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Finding the Fourth Proportional to 32,196, 44,430.72 and 19,618.56

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Solution

The fourth proportional to 32,196, 44,430.72 and 19,618.56 is: 27,073.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,196 : 44,430.72 = 19,618.56 : x
  2. Step 2: Convert to fraction form
    32,196/44,430.72 = 19,618.56/x
  3. Step 3: Cross multiply
    32,196x = 44,430.72 × 19,618.56
  4. Step 4: Simplify right side
    32,196x = 871,666,746.16
  5. Step 5: Solve for x
    x = 871,666,746.16/32,196
  6. Step 6: Final answer
    x = 27,073.76

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