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Finding the Fourth Proportional to 102,565.50, 153,852.93 and 31,482.96

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Solution

The fourth proportional to 102,565.50, 153,852.93 and 31,482.96 is: 47,225.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,565.50 : 153,852.93 = 31,482.96 : x
  2. Step 2: Convert to fraction form
    102,565.50/153,852.93 = 31,482.96/x
  3. Step 3: Cross multiply
    102,565.50x = 153,852.93 × 31,482.96
  4. Step 4: Simplify right side
    102,565.50x = 4,843,745,641.07
  5. Step 5: Solve for x
    x = 4,843,745,641.07/102,565.50
  6. Step 6: Final answer
    x = 47,225.88

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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.