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Finding the Fourth Proportional to 35,646.80, 53,470.20 and 24,587.60

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Solution

The fourth proportional to 35,646.80, 53,470.20 and 24,587.60 is: 36,881.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,646.80 : 53,470.20 = 24,587.60 : x
  2. Step 2: Convert to fraction form
    35,646.80/53,470.20 = 24,587.60/x
  3. Step 3: Cross multiply
    35,646.80x = 53,470.20 × 24,587.60
  4. Step 4: Simplify right side
    35,646.80x = 1,314,703,889.52
  5. Step 5: Solve for x
    x = 1,314,703,889.52/35,646.80
  6. Step 6: Final answer
    x = 36,881.40

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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.