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Finding the Fourth Proportional to 51,088.51, 70,473 and 30,665.14

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Solution

The fourth proportional to 51,088.51, 70,473 and 30,665.14 is: 42,300.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,088.51 : 70,473 = 30,665.14 : x
  2. Step 2: Convert to fraction form
    51,088.51/70,473 = 30,665.14/x
  3. Step 3: Cross multiply
    51,088.51x = 70,473 × 30,665.14
  4. Step 4: Simplify right side
    51,088.51x = 2,161,064,411.22
  5. Step 5: Solve for x
    x = 2,161,064,411.22/51,088.51
  6. Step 6: Final answer
    x = 42,300.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.