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Finding the Fourth Proportional to 78,720, 118,045.12 and 22,547.28

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Solution

The fourth proportional to 78,720, 118,045.12 and 22,547.28 is: 33,810.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,720 : 118,045.12 = 22,547.28 : x
  2. Step 2: Convert to fraction form
    78,720/118,045.12 = 22,547.28/x
  3. Step 3: Cross multiply
    78,720x = 118,045.12 × 22,547.28
  4. Step 4: Simplify right side
    78,720x = 2,661,596,373.27
  5. Step 5: Solve for x
    x = 2,661,596,373.27/78,720
  6. Step 6: Final answer
    x = 33,810.93

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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.