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Finding the Fourth Proportional to 31,209.40, 46,637.69 and 22,461.40

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Solution

The fourth proportional to 31,209.40, 46,637.69 and 22,461.40 is: 33,565.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,209.40 : 46,637.69 = 22,461.40 : x
  2. Step 2: Convert to fraction form
    31,209.40/46,637.69 = 22,461.40/x
  3. Step 3: Cross multiply
    31,209.40x = 46,637.69 × 22,461.40
  4. Step 4: Simplify right side
    31,209.40x = 1,047,547,810.17
  5. Step 5: Solve for x
    x = 1,047,547,810.17/31,209.40
  6. Step 6: Final answer
    x = 33,565.14

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.