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Finding the Fourth Proportional to 30,537.52, 45,746.64 and 21,048.14

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Solution

The fourth proportional to 30,537.52, 45,746.64 and 21,048.14 is: 31,531.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,537.52 : 45,746.64 = 21,048.14 : x
  2. Step 2: Convert to fraction form
    30,537.52/45,746.64 = 21,048.14/x
  3. Step 3: Cross multiply
    30,537.52x = 45,746.64 × 21,048.14
  4. Step 4: Simplify right side
    30,537.52x = 962,881,683.25
  5. Step 5: Solve for x
    x = 962,881,683.25/30,537.52
  6. Step 6: Final answer
    x = 31,531.10

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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.