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Finding the Fourth Proportional to 107,045.76, 147,724.48 and 59,300

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Solution

The fourth proportional to 107,045.76, 147,724.48 and 59,300 is: 81,834.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,045.76 : 147,724.48 = 59,300 : x
  2. Step 2: Convert to fraction form
    107,045.76/147,724.48 = 59,300/x
  3. Step 3: Cross multiply
    107,045.76x = 147,724.48 × 59,300
  4. Step 4: Simplify right side
    107,045.76x = 8,760,061,664
  5. Step 5: Solve for x
    x = 8,760,061,664/107,045.76
  6. Step 6: Final answer
    x = 81,834.74

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