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Finding the Fourth Proportional to 65,092.61, 97,510.74 and 42,838.50

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Solution

The fourth proportional to 65,092.61, 97,510.74 and 42,838.50 is: 64,173.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,092.61 : 97,510.74 = 42,838.50 : x
  2. Step 2: Convert to fraction form
    65,092.61/97,510.74 = 42,838.50/x
  3. Step 3: Cross multiply
    65,092.61x = 97,510.74 × 42,838.50
  4. Step 4: Simplify right side
    65,092.61x = 4,177,214,040.51
  5. Step 5: Solve for x
    x = 4,177,214,040.51/65,092.61
  6. Step 6: Final answer
    x = 64,173.40

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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.