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Finding the Fourth Proportional to 30,477.20, 45,715.80 and 23,565.20

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Solution

The fourth proportional to 30,477.20, 45,715.80 and 23,565.20 is: 35,347.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,477.20 : 45,715.80 = 23,565.20 : x
  2. Step 2: Convert to fraction form
    30,477.20/45,715.80 = 23,565.20/x
  3. Step 3: Cross multiply
    30,477.20x = 45,715.80 × 23,565.20
  4. Step 4: Simplify right side
    30,477.20x = 1,077,301,970.16
  5. Step 5: Solve for x
    x = 1,077,301,970.16/30,477.20
  6. Step 6: Final answer
    x = 35,347.80

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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.