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Finding the Fourth Proportional to 59,038.93, 81,482.22 and 35,166

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Solution

The fourth proportional to 59,038.93, 81,482.22 and 35,166 is: 48,534.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,038.93 : 81,482.22 = 35,166 : x
  2. Step 2: Convert to fraction form
    59,038.93/81,482.22 = 35,166/x
  3. Step 3: Cross multiply
    59,038.93x = 81,482.22 × 35,166
  4. Step 4: Simplify right side
    59,038.93x = 2,865,403,748.52
  5. Step 5: Solve for x
    x = 2,865,403,748.52/59,038.93
  6. Step 6: Final answer
    x = 48,534.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.