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Finding the Fourth Proportional to 48,275.54, 72,430.72 and 25,762.64

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Solution

The fourth proportional to 48,275.54, 72,430.72 and 25,762.64 is: 38,653.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,275.54 : 72,430.72 = 25,762.64 : x
  2. Step 2: Convert to fraction form
    48,275.54/72,430.72 = 25,762.64/x
  3. Step 3: Cross multiply
    48,275.54x = 72,430.72 × 25,762.64
  4. Step 4: Simplify right side
    48,275.54x = 1,866,006,564.30
  5. Step 5: Solve for x
    x = 1,866,006,564.30/48,275.54
  6. Step 6: Final answer
    x = 38,653.25

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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.