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Finding the Fourth Proportional to 39,888.32, 59,849.76 and 21,416

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Solution

The fourth proportional to 39,888.32, 59,849.76 and 21,416 is: 32,133.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,888.32 : 59,849.76 = 21,416 : x
  2. Step 2: Convert to fraction form
    39,888.32/59,849.76 = 21,416/x
  3. Step 3: Cross multiply
    39,888.32x = 59,849.76 × 21,416
  4. Step 4: Simplify right side
    39,888.32x = 1,281,742,460.16
  5. Step 5: Solve for x
    x = 1,281,742,460.16/39,888.32
  6. Step 6: Final answer
    x = 32,133.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.