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Finding the Fourth Proportional to 52,038.76, 78,061.50 and 18,300.64

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Solution

The fourth proportional to 52,038.76, 78,061.50 and 18,300.64 is: 27,452.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,038.76 : 78,061.50 = 18,300.64 : x
  2. Step 2: Convert to fraction form
    52,038.76/78,061.50 = 18,300.64/x
  3. Step 3: Cross multiply
    52,038.76x = 78,061.50 × 18,300.64
  4. Step 4: Simplify right side
    52,038.76x = 1,428,575,409.36
  5. Step 5: Solve for x
    x = 1,428,575,409.36/52,038.76
  6. Step 6: Final answer
    x = 27,452.14

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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.