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Finding the Fourth Proportional to 59,656.86, 89,483.22 and 15,284

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Solution

The fourth proportional to 59,656.86, 89,483.22 and 15,284 is: 22,925.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,656.86 : 89,483.22 = 15,284 : x
  2. Step 2: Convert to fraction form
    59,656.86/89,483.22 = 15,284/x
  3. Step 3: Cross multiply
    59,656.86x = 89,483.22 × 15,284
  4. Step 4: Simplify right side
    59,656.86x = 1,367,661,534.48
  5. Step 5: Solve for x
    x = 1,367,661,534.48/59,656.86
  6. Step 6: Final answer
    x = 22,925.47

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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.