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Finding the Fourth Proportional to 53,411, 80,117.58 and 16,475

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Solution

The fourth proportional to 53,411, 80,117.58 and 16,475 is: 24,712.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,411 : 80,117.58 = 16,475 : x
  2. Step 2: Convert to fraction form
    53,411/80,117.58 = 16,475/x
  3. Step 3: Cross multiply
    53,411x = 80,117.58 × 16,475
  4. Step 4: Simplify right side
    53,411x = 1,319,937,130.50
  5. Step 5: Solve for x
    x = 1,319,937,130.50/53,411
  6. Step 6: Final answer
    x = 24,712.83

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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.