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Finding the Fourth Proportional to 102,510.19, 153,764.37 and 32,389.51

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Solution

The fourth proportional to 102,510.19, 153,764.37 and 32,389.51 is: 48,583.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,510.19 : 153,764.37 = 32,389.51 : x
  2. Step 2: Convert to fraction form
    102,510.19/153,764.37 = 32,389.51/x
  3. Step 3: Cross multiply
    102,510.19x = 153,764.37 × 32,389.51
  4. Step 4: Simplify right side
    102,510.19x = 4,980,352,599.76
  5. Step 5: Solve for x
    x = 4,980,352,599.76/102,510.19
  6. Step 6: Final answer
    x = 48,583.98

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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.