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Finding the Fourth Proportional to 31,061.68, 46,522.42 and 14,386.68

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Solution

The fourth proportional to 31,061.68, 46,522.42 and 14,386.68 is: 21,547.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,061.68 : 46,522.42 = 14,386.68 : x
  2. Step 2: Convert to fraction form
    31,061.68/46,522.42 = 14,386.68/x
  3. Step 3: Cross multiply
    31,061.68x = 46,522.42 × 14,386.68
  4. Step 4: Simplify right side
    31,061.68x = 669,303,133.40
  5. Step 5: Solve for x
    x = 669,303,133.40/31,061.68
  6. Step 6: Final answer
    x = 21,547.55

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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.